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253630152 = 23323522641
BaseRepresentation
bin11110001111000…
…01011011001000
3122200020202011100
433013201123020
51004412131102
641100101400
76166551336
oct1707413310
9580222140
10253630152
111201930a6
1270b34860
1340713b19
1425982b56
15173eea1c
hexf1e16c8

253630152 has 24 divisors (see below), whose sum is σ = 686915190. Its totient is φ = 84543360.

The previous prime is 253630151. The next prime is 253630163. The reversal of 253630152 is 251036352.

253630152 is a `hidden beast` number, since 25 + 3 + 630 + 1 + 5 + 2 = 666.

253630152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 197290116 + 56340036 = 14046^2 + 7506^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (253630151) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1761249 + ... + 1761392.

Almost surely, 2253630152 is an apocalyptic number.

It is an amenable number.

253630152 is an abundant number, since it is smaller than the sum of its proper divisors (433285038).

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

253630152 is a wasteful number, since it uses less digits than its factorization.

253630152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3522653 (or 3522646 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 253630152 is about 15925.7700598747. The cubic root of 253630152 is about 632.9950210370.

The spelling of 253630152 in words is "two hundred fifty-three million, six hundred thirty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3522641 7045282 10567923 14090564 21135846 28181128 31703769 42271692 63407538 84543384 126815076 253630152