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252460992 = 2637187843
BaseRepresentation
bin11110000110000…
…11111111000000
3122121001100101010
433003003333000
51004112222432
641015040520
76153611610
oct1703037700
9577040333
10252460992
1111a564753
1270670140
13403c4904
142575aa40
151726d3cc
hexf0c3fc0

252460992 has 56 divisors (see below), whose sum is σ = 763398016. Its totient is φ = 72131328.

The previous prime is 252460969. The next prime is 252461021. The reversal of 252460992 is 299064252.

252460992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 252460992.

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, 92578 + ... + 95265.

Almost surely, 2252460992 is an apocalyptic number.

It is an amenable number.

252460992 is an abundant number, since it is smaller than the sum of its proper divisors (510937024).

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

252460992 is a wasteful number, since it uses less digits than its factorization.

252460992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187865 (or 187855 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 252460992 is about 15889.0211152229. The cubic root of 252460992 is about 632.0208827154.

The spelling of 252460992 in words is "two hundred fifty-two million, four hundred sixty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 187843 375686 563529 751372 1127058 1314901 1502744 2254116 2629802 3005488 3944703 4508232 5259604 6010976 7889406 9016464 10519208 12021952 15778812 18032928 21038416 31557624 36065856 42076832 63115248 84153664 126230496 252460992