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252531477 = 32112231893
BaseRepresentation
bin11110000110101…
…01001100010101
3122121011221001200
433003111030111
51004122001402
641020343113
76154324242
oct1703251425
9577157050
10252531477
1111a602700
12706a4a99
134041aa13
14257785c9
151728421c
hexf0d5315

252531477 has 18 divisors (see below), whose sum is σ = 400944726. Its totient is φ = 153048720.

The previous prime is 252531473. The next prime is 252531491. The reversal of 252531477 is 774135252.

252531477 is a `hidden beast` number, since 2 + 52 + 531 + 4 + 77 = 666.

252531477 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 128119761 + 124411716 = 11319^2 + 11154^2 .

It is not a de Polignac number, because 252531477 - 22 = 252531473 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252531473) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 114858 + ... + 117035.

It is an arithmetic number, because the mean of its divisors is an integer number (22274707).

Almost surely, 2252531477 is an apocalyptic number.

It is an amenable number.

252531477 is a deficient number, since it is larger than the sum of its proper divisors (148413249).

252531477 is a wasteful number, since it uses less digits than its factorization.

252531477 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231921 (or 231907 counting only the distinct ones).

The product of its digits is 58800, while the sum is 36.

The square root of 252531477 is about 15891.2390014121. The cubic root of 252531477 is about 632.0796955593.

The spelling of 252531477 in words is "two hundred fifty-two million, five hundred thirty-one thousand, four hundred seventy-seven".

Divisors: 1 3 9 11 33 99 121 363 1089 231893 695679 2087037 2550823 7652469 22957407 28059053 84177159 252531477