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252362352 = 24311598101
BaseRepresentation
bin11110000101010…
…11111001110000
3122120212100001210
433002223321300
51004101043402
641013000120
76153021204
oct1702537160
9576770053
10252362352
1111a4a7630
1270623040
134038ba48
1425732b04
151724e06c
hexf0abe70

252362352 has 80 divisors (see below), whose sum is σ = 723346560. Its totient is φ = 75168000.

The previous prime is 252362347. The next prime is 252362377. The reversal of 252362352 is 253263252.

252362352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27102 + ... + 35202.

It is an arithmetic number, because the mean of its divisors is an integer number (9041832).

Almost surely, 2252362352 is an apocalyptic number.

252362352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252362352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361673280).

252362352 is an abundant number, since it is smaller than the sum of its proper divisors (470984208).

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

252362352 is a wasteful number, since it uses less digits than its factorization.

252362352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8182 (or 8176 counting only the distinct ones).

The product of its digits is 21600, while the sum is 30.

The square root of 252362352 is about 15885.9167818543. The cubic root of 252362352 is about 631.9385588938.

The spelling of 252362352 in words is "two hundred fifty-two million, three hundred sixty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 59 66 88 118 132 176 177 236 264 354 472 528 649 708 944 1298 1416 1947 2596 2832 3894 5192 7788 8101 10384 15576 16202 24303 31152 32404 48606 64808 89111 97212 129616 178222 194424 267333 356444 388848 477959 534666 712888 955918 1069332 1425776 1433877 1911836 2138664 2867754 3823672 4277328 5257549 5735508 7647344 10515098 11471016 15772647 21030196 22942032 31545294 42060392 63090588 84120784 126181176 252362352