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253025856 = 263448809
BaseRepresentation
bin11110001010011…
…01111001000000
3122122010001020000
433011031321000
51004233311411
641035120000
76161453466
oct1705157100
9578101200
10253025856
1111a910086
12708a3000
1340561a55
1425866836
1517330956
hexf14de40

253025856 has 70 divisors (see below), whose sum is σ = 750063270. Its totient is φ = 84340224.

The previous prime is 253025837. The next prime is 253025867. The reversal of 253025856 is 658520352.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 201185856 + 51840000 = 14184^2 + 7200^2 .

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 253025856.

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 9 ways as a sum of consecutive naturals, for example, 19221 + ... + 29588.

Almost surely, 2253025856 is an apocalyptic number.

It is an amenable number.

253025856 is an abundant number, since it is smaller than the sum of its proper divisors (497037414).

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

253025856 is an equidigital number, since it uses as much as digits as its factorization.

253025856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48833 (or 48814 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 253025856 is about 15906.7864762183. The cubic root of 253025856 is about 632.4918992646.

The spelling of 253025856 in words is "two hundred fifty-three million, twenty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 48809 97618 146427 195236 292854 390472 439281 585708 780944 878562 1171416 1317843 1561888 1757124 2342832 2635686 3123776 3514248 3953529 4685664 5271372 7028496 7907058 9371328 10542744 14056992 15814116 21085488 28113984 31628232 42170976 63256464 84341952 126512928 253025856