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Number

152

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

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

Historical context — 152 AD

Calendar year

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

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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 · English fallback 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 consecutive integers: 2 + 3 + … + 17
Aliquot sequence: 152 148 118 62 34 20 22 14 10 8 7 1 0 — terminates at zero

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)
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

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).

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.

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000000152
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.