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252994656 = 2537933359
BaseRepresentation
bin11110001010001…
…10010001100000
3122122001110102110
433011012101200
51004231312111
641034315320
76161263515
oct1705062140
9578043373
10252994656
1111a8996a2
1270888b40
13405507a5
142585930c
15173265a6
hexf146460

252994656 has 48 divisors (see below), whose sum is σ = 672537600. Its totient is φ = 83261568.

The previous prime is 252994649. The next prime is 252994661. The reversal of 252994656 is 656499252.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 9096 + ... + 24263.

It is an arithmetic number, because the mean of its divisors is an integer number (14011200).

Almost surely, 2252994656 is an apocalyptic number.

It is an amenable number.

252994656 is an abundant number, since it is smaller than the sum of its proper divisors (419542944).

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

252994656 is a wasteful number, since it uses less digits than its factorization.

252994656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33451 (or 33443 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 48.

The square root of 252994656 is about 15905.8057324991. The cubic root of 252994656 is about 632.4659011858.

The spelling of 252994656 in words is "two hundred fifty-two million, nine hundred ninety-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 474 632 948 1264 1896 2528 3792 7584 33359 66718 100077 133436 200154 266872 400308 533744 800616 1067488 1601232 2635361 3202464 5270722 7906083 10541444 15812166 21082888 31624332 42165776 63248664 84331552 126497328 252994656