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252307104 = 2537375457
BaseRepresentation
bin11110000100111…
…10011010100000
3122120202112021120
433002132122200
51004042311404
641011452240
76152401140
oct1702363240
9576675246
10252307104
1111a46a075
12705b7080
134036c85a
142571a920
151723c9d9
hexf09e6a0

252307104 has 48 divisors (see below), whose sum is σ = 756923328. Its totient is φ = 72087552.

The previous prime is 252307093. The next prime is 252307117. The reversal of 252307104 is 401703252.

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 (24).

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, 187057 + ... + 188400.

It is an arithmetic number, because the mean of its divisors is an integer number (15769236).

Almost surely, 2252307104 is an apocalyptic number.

252307104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252307104 is an abundant number, since it is smaller than the sum of its proper divisors (504616224).

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

252307104 is a wasteful number, since it uses less digits than its factorization.

252307104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375477 (or 375469 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 252307104 is about 15884.1777879751. The cubic root of 252307104 is about 631.8924401690.

The spelling of 252307104 in words is "two hundred fifty-two million, three hundred seven thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 375457 750914 1126371 1501828 2252742 2628199 3003656 4505484 5256398 6007312 7884597 9010968 10512796 12014624 15769194 18021936 21025592 31538388 36043872 42051184 63076776 84102368 126153552 252307104