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253857264 = 24331170603
BaseRepresentation
bin11110010000110…
…00110111110000
3122200200021200220
433020120313300
51004441413024
641105013040
76201515433
oct1710306760
9580607626
10253857264
111203287a1
1271024180
13407932cb
1425a0181a
1517446e79
hexf218df0

253857264 has 40 divisors (see below), whose sum is σ = 676956672. Its totient is φ = 81888960.

The previous prime is 253857193. The next prime is 253857299. The reversal of 253857264 is 462758352.

253857264 is digitally balanced in base 2, 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 7 ways as a sum of consecutive naturals, for example, 83814 + ... + 86789.

Almost surely, 2253857264 is an apocalyptic number.

253857264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

253857264 is an abundant number, since it is smaller than the sum of its proper divisors (423099408).

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

253857264 is a wasteful number, since it uses less digits than its factorization.

253857264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170645 (or 170639 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The square root of 253857264 is about 15932.8987946324. The cubic root of 253857264 is about 633.1839022031.

The spelling of 253857264 in words is "two hundred fifty-three million, eight hundred fifty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 170603 341206 511809 682412 1023618 1364824 2047236 2729648 4094472 5288693 8188944 10577386 15866079 21154772 31732158 42309544 63464316 84619088 126928632 253857264