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252464264 = 23132427541
BaseRepresentation
bin11110000110001…
…00110010001000
3122121001111212022
433003010302020
51004112324024
641015104012
76153624263
oct1703046210
9577044768
10252464264
1111a567158
1270672008
13403c6250
142575bcda
151726e35e
hexf0c4c88

252464264 has 16 divisors (see below), whose sum is σ = 509783820. Its totient is φ = 116521920.

The previous prime is 252464257. The next prime is 252464273. The reversal of 252464264 is 462464252.

It can be written as a sum of positive squares in 2 ways, for example, as 248692900 + 3771364 = 15770^2 + 1942^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1213667 + ... + 1213874.

Almost surely, 2252464264 is an apocalyptic number.

It is an amenable number.

252464264 is an abundant number, since it is smaller than the sum of its proper divisors (257319556).

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

252464264 is a wasteful number, since it uses less digits than its factorization.

252464264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2427560 (or 2427556 counting only the distinct ones).

The product of its digits is 92160, while the sum is 35.

The square root of 252464264 is about 15889.1240790674. The cubic root of 252464264 is about 632.0236131219.

The spelling of 252464264 in words is "two hundred fifty-two million, four hundred sixty-four thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 26 52 104 2427541 4855082 9710164 19420328 31558033 63116066 126232132 252464264