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253643064 = 23315596779
BaseRepresentation
bin11110001111001…
…00100100111000
3122200021101212120
433013210210320
51004413034224
641100241240
76166634103
oct1707444470
9580241776
10253643064
111201a1874
1270b40220
134071996c
142598773a
1517403779
hexf1e4938

253643064 has 32 divisors (see below), whose sum is σ = 634608000. Its totient is φ = 84480992.

The previous prime is 253643051. The next prime is 253643087. The reversal of 253643064 is 460346352.

253643064 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 7 ways as a sum of consecutive naturals, for example, 34027 + ... + 40805.

It is an arithmetic number, because the mean of its divisors is an integer number (19831500).

Almost surely, 2253643064 is an apocalyptic number.

253643064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

253643064 is an abundant number, since it is smaller than the sum of its proper divisors (380964936).

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

253643064 is a wasteful number, since it uses less digits than its factorization.

253643064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8347 (or 8343 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

The square root of 253643064 is about 15926.1754354271. The cubic root of 253643064 is about 633.0057625215.

The spelling of 253643064 in words is "two hundred fifty-three million, six hundred forty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 24 1559 3118 4677 6236 6779 9354 12472 13558 18708 20337 27116 37416 40674 54232 81348 162696 10568461 21136922 31705383 42273844 63410766 84547688 126821532 253643064