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252535464 = 233210933209
BaseRepresentation
bin11110000110101…
…10001010101000
3122121012010112100
433003112022220
51004122113324
641020413400
76154341666
oct1703261250
9577163470
10252535464
1111a6056a5
12706a7260
134041c78c
1425779c36
15172854c9
hexf0d62a8

252535464 has 48 divisors (see below), whose sum is σ = 684789300. Its totient is φ = 84075264.

The previous prime is 252535463. The next prime is 252535477. The reversal of 252535464 is 464535252.

It can be written as a sum of positive squares in 2 ways, for example, as 220522500 + 32012964 = 14850^2 + 5658^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (252535463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77092 + ... + 80300.

Almost surely, 2252535464 is an apocalyptic number.

252535464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252535464 is an abundant number, since it is smaller than the sum of its proper divisors (432253836).

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

252535464 is a wasteful number, since it uses less digits than its factorization.

252535464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4314 (or 4307 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The square root of 252535464 is about 15891.3644473972. The cubic root of 252535464 is about 632.0830219941.

The spelling of 252535464 in words is "two hundred fifty-two million, five hundred thirty-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1093 2186 3209 3279 4372 6418 6558 8744 9627 9837 12836 13116 19254 19674 25672 26232 28881 38508 39348 57762 77016 78696 115524 231048 3507437 7014874 10522311 14029748 21044622 28059496 31566933 42089244 63133866 84178488 126267732 252535464