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253931392 = 27111313873
BaseRepresentation
bin11110010001010…
…10111110000000
3122200211001101101
433020222332000
51010001301032
641110344144
76202244521
oct1710527600
9580731341
10253931392
11120379460
127105b054
13407bac80
1425a20848
151745dde7
hexf22af80

253931392 has 64 divisors (see below), whose sum is σ = 594362160. Its totient is φ = 106536960.

The previous prime is 253931357. The next prime is 253931411. The reversal of 253931392 is 293139352.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 11368 + ... + 25240.

Almost surely, 2253931392 is an apocalyptic number.

253931392 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253931392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297181080).

253931392 is an abundant number, since it is smaller than the sum of its proper divisors (340430768).

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

253931392 is a wasteful number, since it uses less digits than its factorization.

253931392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13911 (or 13899 counting only the distinct ones).

The product of its digits is 43740, while the sum is 37.

The square root of 253931392 is about 15935.2248807477. The cubic root of 253931392 is about 633.2455275008.

The spelling of 253931392 in words is "two hundred fifty-three million, nine hundred thirty-one thousand, three hundred ninety-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 176 208 286 352 416 572 704 832 1144 1408 1664 2288 4576 9152 13873 18304 27746 55492 110984 152603 180349 221968 305206 360698 443936 610412 721396 887872 1220824 1442792 1775744 1983839 2441648 2885584 3967678 4883296 5771168 7935356 9766592 11542336 15870712 19533184 23084672 31741424 63482848 126965696 253931392