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253012896 = 253497613
BaseRepresentation
bin11110001010010…
…10101110100000
3122122002101110000
433011022232200
51004232403041
641034540000
76161400633
oct1705125640
9578071400
10253012896
1111a901374
1270897600
1340558b96
1425861c1a
151732bbb6
hexf14aba0

253012896 has 60 divisors (see below), whose sum is σ = 744111522. Its totient is φ = 84336768.

The previous prime is 253012889. The next prime is 253012897. The reversal of 253012896 is 698210352.

It can be written as a sum of positive squares in only one way, i.e., 172659600 + 80353296 = 13140^2 + 8964^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 253012896.

It is not an unprimeable number, because it can be changed into a prime (253012897) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 46215 + ... + 51398.

Almost surely, 2253012896 is an apocalyptic number.

It is an amenable number.

253012896 is an abundant number, since it is smaller than the sum of its proper divisors (491098626).

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

253012896 is an equidigital number, since it uses as much as digits as its factorization.

253012896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97635 (or 97618 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 253012896 is about 15906.3790977079. The cubic root of 253012896 is about 632.4811003221.

The spelling of 253012896 in words is "two hundred fifty-three million, twelve thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 97613 195226 292839 390452 585678 780904 878517 1171356 1561808 1757034 2342712 2635551 3123616 3514068 4685424 5271102 7028136 7906653 9370848 10542204 14056272 15813306 21084408 28112544 31626612 42168816 63253224 84337632 126506448 253012896