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23084864 = 26113271
BaseRepresentation
bin101100000001…
…1111101000000
31121102211110222
41120003331000
521402203424
62142442212
7400134545
oct130037500
947384428
1023084864
1112038000
127893368
134a235aa
1430ccbcc
15205ee5e
hex1603f40

23084864 has 56 divisors (see below), whose sum is σ = 50572416. Its totient is φ = 10454400.

The previous prime is 23084857. The next prime is 23084879. The reversal of 23084864 is 46848032.

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, 85049 + ... + 85319.

Almost surely, 223084864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23084864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25286208).

23084864 is an abundant number, since it is smaller than the sum of its proper divisors (27487552).

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

23084864 is an equidigital number, since it uses as much as digits as its factorization.

23084864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 23084864 is about 4804.6710605410. The cubic root of 23084864 is about 284.7360395863.

The spelling of 23084864 in words is "twenty-three million, eighty-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 271 352 484 542 704 968 1084 1331 1936 2168 2662 2981 3872 4336 5324 5962 7744 8672 10648 11924 17344 21296 23848 32791 42592 47696 65582 85184 95392 131164 190784 262328 360701 524656 721402 1049312 1442804 2098624 2885608 5771216 11542432 23084864