Search a number
-
+
253633152 = 273660503
BaseRepresentation
bin11110001111000…
…10001010000000
3122200020220021110
433013202022000
51004412230102
641100123320
76166563153
oct1707421200
9580226243
10253633152
11120195383
1270b36540
13407152b6
1425983c9a
151740086c
hexf1e2280

253633152 has 32 divisors (see below), whose sum is σ = 673714080. Its totient is φ = 84544256.

The previous prime is 253633139. The next prime is 253633199. The reversal of 253633152 is 251336352.

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 329868 + ... + 330635.

It is an arithmetic number, because the mean of its divisors is an integer number (21053565).

Almost surely, 2253633152 is an apocalyptic number.

It is an amenable number.

253633152 is an abundant number, since it is smaller than the sum of its proper divisors (420080928).

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

253633152 is an equidigital number, since it uses as much as digits as its factorization.

253633152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660520 (or 660508 counting only the distinct ones).

The product of its digits is 16200, while the sum is 30.

The square root of 253633152 is about 15925.8642465645. The cubic root of 253633152 is about 632.9975167676.

The spelling of 253633152 in words is "two hundred fifty-three million, six hundred thirty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 660503 1321006 1981509 2642012 3963018 5284024 7926036 10568048 15852072 21136096 31704144 42272192 63408288 84544384 126816576 253633152