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252146904 = 233101104021
BaseRepresentation
bin11110000011101…
…11010011011000
3122120110101112020
433001313103120
51004022200104
641004214440
76151133112
oct1701672330
9576411466
10252146904
1111a36a779
127053a420
1340314969
14256b83b2
151720a2d9
hexf0774d8

252146904 has 32 divisors (see below), whose sum is σ = 636614640. Its totient is φ = 83216000.

The previous prime is 252146857. The next prime is 252146911. The reversal of 252146904 is 409641252.

It is a super-2 number, since 2×2521469042 = 127156122393570432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49587 + ... + 54434.

Almost surely, 2252146904 is an apocalyptic number.

252146904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252146904 is an abundant number, since it is smaller than the sum of its proper divisors (384467736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

252146904 is a wasteful number, since it uses less digits than its factorization.

252146904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104131 (or 104127 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 252146904 is about 15879.1342333265. The cubic root of 252146904 is about 631.7586738188.

The spelling of 252146904 in words is "two hundred fifty-two million, one hundred forty-six thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 24 101 202 303 404 606 808 1212 2424 104021 208042 312063 416084 624126 832168 1248252 2496504 10506121 21012242 31518363 42024484 63036726 84048968 126073452 252146904