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253662144 = 2631321157
BaseRepresentation
bin11110001111010…
…01001111000000
3122200022101001020
433013221033000
51004414142034
641100505440
76200043531
oct1707511700
9580271036
10253662144
1112020513a
1270b4b280
1340725558
1425990688
1517409249
hexf1e93c0

253662144 has 28 divisors (see below), whose sum is σ = 671148264. Its totient is φ = 84553984.

The previous prime is 253662137. The next prime is 253662161. The reversal of 253662144 is 441266352.

253662144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 660387 + ... + 660770.

Almost surely, 2253662144 is an apocalyptic number.

253662144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

253662144 is an abundant number, since it is smaller than the sum of its proper divisors (417486120).

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

253662144 is a wasteful number, since it uses less digits than its factorization.

253662144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321172 (or 1321162 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 253662144 is about 15926.7744380336. The cubic root of 253662144 is about 633.0216344939.

The spelling of 253662144 in words is "two hundred fifty-three million, six hundred sixty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 1321157 2642314 3963471 5284628 7926942 10569256 15853884 21138512 31707768 42277024 63415536 84554048 126831072 253662144