Number

1,452

1,452 is a composite number, even, a calendar year.

1,452 (one thousand four hundred fifty-two) is an even 4-digit number. It is a composite number with 18 divisors, and factors as 2² × 3 × 11². Its proper divisors sum to 2,272, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCDLII and in binary, 10110101100.

Abundant Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number Year

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,440 1,441 1,442 1,443 1,444 1,445 1,446 1,447 1,448 1,449 1,450 1,451 1,452 1,453 1,454 1,455 1,456 1,457 1,458 1,459 1,460 1,461 1,462 1,463 1,464

less more

Historical context — 1452 AD

Calendar year

Year 1452 (MCDLII) was a leap year starting on Saturday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Year facts

Year type: Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year: 366
ISO weeks: 53
Long year: contains 53 ISO weeks.
Started on: Thursday
January 1, 1452
Ended on: Friday
December 31, 1452
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 1450s
1450–1459
Century: 15th century
1401–1500
Millennium: 2nd millennium
1001–2000
Years ago: 574
574 years before 2026.

In other calendars

Hebrew: 5212 / 5213 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 855 / 856 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Water zodiac:Monkey
Sexagenary cycle position 9 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1995 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 830 / 831 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1444 / 1445 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1374 / 1373 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 12
Digit product: 40
Digital root: 3
Palindrome: No
Bit width: 11 bits
Reversed: 2,541
Recamán's sequence: a(1,656) = 1,452
Square (n²): 2,108,304
Cube (n³): 3,061,257,408
Divisor count: 18
σ(n) — sum of divisors: 3,724
φ(n) — Euler's totient: 440
Sum of prime factors: 29

Primality

Prime factorization: 2 ² × 3 × 11 ²

Nearest primes: 1,451 (−1) · 1,453 (+1)

Divisors & multiples

All divisors (18)

1 · 2 · 3 · 4 · 6 · 11 · 12 · 22 · 33 · 44 · 66 · 121 · 132 · 242 · 363 · 484 · 726 (half) · 1452

Aliquot sum (sum of proper divisors): 2,272

Factor pairs (a × b = 1,452)

1 × 1452

2 × 726

3 × 484

4 × 363

6 × 242

11 × 132

12 × 121

22 × 66

33 × 44

First multiples

1,452 · 2,904 (double) · 4,356 · 5,808 · 7,260 · 8,712 · 10,164 · 11,616 · 13,068 · 14,520

Sums & aliquot sequence

As consecutive integers: 483 + 484 + 485 178 + 179 + … + 185 127 + 128 + … + 137 49 + 50 + … + 72

Aliquot sequence: 1,452 → 2,272 → 2,264 → 1,996 → 1,504 → 1,520 → 2,200 → 3,380 → 4,306 → 2,156 → 2,632 → 3,128 → 3,352 → 2,948 → 2,764 → 2,080 → 3,212 — unresolved within range

Continued fraction of √n

√1,452 = [38; (9, 1, 1, 18, 1, 1, 9, 76)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: one thousand four hundred fifty-two
Ordinal: 1452nd
Roman numeral: MCDLII
Binary: 10110101100
Octal: 2654
Hexadecimal: 0x5AC
Base64: Baw=
One's complement: 64,083 (16-bit)
Scientific notation: 1.452 × 10³
As a duration: 1,452 s = 24 minutes, 12 seconds

In other bases

ternary (3) 1222210

quaternary (4) 112230

quinary (5) 21302

senary (6) 10420

septenary (7) 4143

nonary (9) 1883

undecimal (11) 1100

duodecimal (12) a10

tridecimal (13) 879

tetradecimal (14) 75a

pentadecimal (15) 66c

As an angle

1,452° = 4 × 360° + 12°

12° ≈ 0.209 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵αυνβʹ
Mayan (base 20): 𝋣·𝋬·𝋬
Chinese: 一千四百五十二
Chinese (financial): 壹仟肆佰伍拾貳

In other modern scripts

Eastern Arabic ١٤٥٢ Devanagari १४५२ Bengali ১৪৫২ Tamil ௧௪௫௨ Thai ๑๔๕๒ Tibetan ༡༤༥༢ Khmer ១៤៥២ Lao ໑໔໕໒ Burmese ၁၄၅၂

Digit at this position in famous constants

π — Pi (π): Digit 1,452 = 5
e — Euler's number (e): Digit 1,452 = 3
φ — Golden ratio (φ): Digit 1,452 = 9
√2 — Pythagoras's (√2): Digit 1,452 = 1
ln 2 — Natural log of 2: Digit 1,452 = 7
γ — Euler-Mascheroni (γ): Digit 1,452 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1452, here are decompositions:

5 + 1447 = 1452
13 + 1439 = 1452
19 + 1433 = 1452
23 + 1429 = 1452
29 + 1423 = 1452
43 + 1409 = 1452
53 + 1399 = 1452
71 + 1381 = 1452

Showing the first eight; more decompositions exist.

Unicode codepoint

Hebrew Accent Iluy

U+05AC

Non-spacing mark (Mn)

UTF-8 encoding: D6 AC (2 bytes).

Lookup U+05AC on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0005AC

RGB(0, 5, 172)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.172.

Address: 0.0.5.172
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.5.172

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Musical pitch

Heard as a frequency, 1,452 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯6 (1480 Hz, -33¢)
Scientific pitch (C4 = 256 Hz): F♯6 (1448.2 Hz, +5¢)
Baroque pitch (A4 = 415 Hz): G6 (1478.9 Hz, -32¢)

Position in π

The digit sequence 1452 first appears in π at position 610 of the decimal expansion (the 610ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 1452 on Pi Search ↗