Number

152

152 is a composite number, even, a calendar year.

152 (one hundred fifty-two) is an even 3-digit number. It is a composite number with 8 divisors, and factors as 2³ × 19. Written other ways, in Roman numerals it is CLII and in binary, 10011000.

Deficient Number Harshad / Niven Moran Number Odious Number Pernicious Number Recamán's Sequence Refactorable Number Year

Interestingness

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4 notable facts · grade D

140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164

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Historical context — 152 AD

Calendar year

Year 152 (CLII) was a leap year starting on Friday of the Julian calendar.

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

Historical context — 152 BC

Calendar year

Year 152 BC was a year of the pre-Julian Roman 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: 52
Started on: Saturday
January 1, 152
Ended on: Sunday
December 31, 152
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 150s
150–159
Century: 2nd century
101–200
Millennium: 1st millennium
1–1000
Years ago: 1,874
1874 years before 2026.

In other calendars

Hebrew: 3912 / 3913 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Water zodiac:Dragon
Sexagenary cycle position 29 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 695 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 144 / 145 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 74 / 73 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 8
Digit product: 10
Digital root: 8
Palindrome: No
Bit width: 8 bits
Reversed: 251
Recamán's sequence: a(76) = 152
Square (n²): 23,104
Cube (n³): 3,511,808
Divisor count: 8
σ(n) — sum of divisors: 300
φ(n) — Euler's totient: 72
Sum of prime factors: 25

Primality

Prime factorization: 2 ³ × 19

Nearest primes: 151 (−1) · 157 (+5)

Divisors & multiples

All divisors (8)

1 · 2 · 4 · 8 · 19 · 38 · 76 (half) · 152

Aliquot sum (sum of proper divisors): 148

Factor pairs (a × b = 152)

1 × 152

2 × 76

4 × 38

8 × 19

First multiples

152 · 304 (double) · 456 · 608 · 760 · 912 · 1,064 · 1,216 · 1,368 · 1,520

Sums & aliquot sequence

As a sum of two cubes: 3³ + 5³

As consecutive integers: 2 + 3 + … + 17

Aliquot sequence: 152 → 148 → 118 → 62 → 34 → 20 → 22 → 14 → 10 → 8 → 7 → 1 → 0 — terminates at zero

Continued fraction of √n

√152 = [12; (3, 24)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: one hundred fifty-two
Ordinal: 152nd
Roman numeral: CLII
Binary: 10011000
Octal: 230
Hexadecimal: 0x98
Base64: mA==
One's complement: 103 (8-bit)
Scientific notation: 1.52 × 10²
As a duration: 152 s = 2 minutes, 32 seconds

In other bases

ternary (3) 12122

quaternary (4) 2120

quinary (5) 1102

senary (6) 412

septenary (7) 305

nonary (9) 178

undecimal (11) 129

duodecimal (12) 108

tridecimal (13) b9

tetradecimal (14) ac

pentadecimal (15) a2

As an angle

152°

152° ≈ 2.653 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ρνβʹ
Mayan (base 20): 𝋧·𝋬
Chinese: 一百五十二
Chinese (financial): 壹佰伍拾貳

In other modern scripts

Eastern Arabic ١٥٢ Devanagari १५२ Bengali ১৫২ Tamil ௧௫௨ Thai ๑๕๒ Tibetan ༡༥༢ Khmer ១៥២ Lao ໑໕໒ Burmese ၁၅၂

Digit at this position in famous constants

π — Pi (π): Digit 152 = 4
e — Euler's number (e): Digit 152 = 5
φ — Golden ratio (φ): Digit 152 = 7
√2 — Pythagoras's (√2): Digit 152 = 9
ln 2 — Natural log of 2: Digit 152 = 0
γ — Euler-Mascheroni (γ): Digit 152 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 152, here are decompositions:

3 + 149 = 152
13 + 139 = 152
43 + 109 = 152
73 + 79 = 152

Unicode codepoint

Start Of String

U+0098

Control character (Cc)

UTF-8 encoding: C2 98 (2 bytes).

Lookup U+0098 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000098

RGB(0, 0, 152)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.152.

Address: 0.0.0.152
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.0.152

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

Musical pitch

Heard as a frequency, 152 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯3 (155.6 Hz, -40¢)
Scientific pitch (C4 = 256 Hz): D♯3 (152.2 Hz, -2¢)
Baroque pitch (A4 = 415 Hz): E3 (155.4 Hz, -39¢)