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252553032 = 23333137717
BaseRepresentation
bin11110000110110…
…10011101001000
3122121020000122000
433003122131020
51004123144112
641021031000
76154444134
oct1703323510
9577200560
10252553032
1111a617916
12706b5460
1340427784
14257823c4
151728a7dc
hexf0da748

252553032 has 64 divisors (see below), whose sum is σ = 724185600. Its totient is φ = 81466560.

The previous prime is 252552991. The next prime is 252553033. The reversal of 252553032 is 230355252.

252553032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 252552987 and 252553005.

It is not an unprimeable number, because it can be changed into a prime (252553033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12163 + ... + 25554.

It is an arithmetic number, because the mean of its divisors is an integer number (11315400).

Almost surely, 2252553032 is an apocalyptic number.

It is an amenable number.

252553032 is an abundant number, since it is smaller than the sum of its proper divisors (471632568).

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

252553032 is a wasteful number, since it uses less digits than its factorization.

252553032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37763 (or 37753 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 252553032 is about 15891.9171908238. The cubic root of 252553032 is about 632.0976789151.

The spelling of 252553032 in words is "two hundred fifty-two million, five hundred fifty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 372 558 744 837 1116 1674 2232 3348 6696 37717 75434 113151 150868 226302 301736 339453 452604 678906 905208 1018359 1169227 1357812 2036718 2338454 2715624 3507681 4073436 4676908 7015362 8146872 9353816 10523043 14030724 21046086 28061448 31569129 42092172 63138258 84184344 126276516 252553032