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253900152 = 2332111132837
BaseRepresentation
bin11110010001000…
…11010101111000
3122200202110112100
433020203111320
51004444301102
641105543400
76202054452
oct1710432570
9580673470
10253900152
11120357a40
1271044b60
13407a999c
1425a132d2
1517454a1c
hexf223578

253900152 has 96 divisors (see below), whose sum is σ = 757064880. Its totient is φ = 76231680.

The previous prime is 253900147. The next prime is 253900169. The reversal of 253900152 is 251009352.

253900152 is digitally balanced in base 2 and base 3, because in such bases 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 23 ways as a sum of consecutive naturals, for example, 88078 + ... + 90914.

Almost surely, 2253900152 is an apocalyptic number.

253900152 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 253900152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378532440).

253900152 is an abundant number, since it is smaller than the sum of its proper divisors (503164728).

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

253900152 is a wasteful number, since it uses less digits than its factorization.

253900152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2973 (or 2966 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 253900152 is about 15934.2446322378. The cubic root of 253900152 is about 633.2195580169.

The spelling of 253900152 in words is "two hundred fifty-three million, nine hundred thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 113 132 198 226 264 339 396 452 678 792 904 1017 1243 1356 2034 2486 2712 2837 3729 4068 4972 5674 7458 8136 8511 9944 11187 11348 14916 17022 22374 22696 25533 29832 31207 34044 44748 51066 62414 68088 89496 93621 102132 124828 187242 204264 249656 280863 320581 374484 561726 641162 748968 961743 1123452 1282324 1923486 2246904 2564648 2885229 3526391 3846972 5770458 7052782 7693944 10579173 11540916 14105564 21158346 23081832 28211128 31737519 42316692 63475038 84633384 126950076 253900152