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252534432 = 2533184857
BaseRepresentation
bin11110000110101…
…01111010100000
3122121012002010010
433003111322200
51004122100212
641020404520
76154335663
oct1703257240
9577162103
10252534432
1111a604947
12706a6740
134041c177
14257796da
151728503c
hexf0d5ea0

252534432 has 48 divisors (see below), whose sum is σ = 684294912. Its totient is φ = 81461760.

The previous prime is 252534413. The next prime is 252534437. The reversal of 252534432 is 234435252.

252534432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 252534432.

It is not an unprimeable number, because it can be changed into a prime (252534437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39453 + ... + 45404.

It is an arithmetic number, because the mean of its divisors is an integer number (14256144).

Almost surely, 2252534432 is an apocalyptic number.

It is an amenable number.

252534432 is an abundant number, since it is smaller than the sum of its proper divisors (431760480).

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

252534432 is a wasteful number, since it uses less digits than its factorization.

252534432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84901 (or 84893 counting only the distinct ones).

The product of its digits is 28800, while the sum is 30.

The square root of 252534432 is about 15891.3319768986. The cubic root of 252534432 is about 632.0821609790.

Adding to 252534432 its reverse (234435252), we get a palindrome (486969684).

The spelling of 252534432 in words is "two hundred fifty-two million, five hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 84857 169714 254571 339428 509142 678856 1018284 1357712 2036568 2630567 2715424 4073136 5261134 7891701 8146272 10522268 15783402 21044536 31566804 42089072 63133608 84178144 126267216 252534432