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23938688 = 27296449
BaseRepresentation
bin101101101010…
…0011010000000
31200001012201002
41123110122000
522112014223
62213031132
7410322044
oct133243200
950035632
1023938688
1112570544
1280254a8
134c62107
143272024
15217ce28
hex16d4680

23938688 has 32 divisors (see below), whose sum is σ = 49342500. Its totient is φ = 11554816.

The previous prime is 23938661. The next prime is 23938693. The reversal of 23938688 is 88683932.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 21603904 + 2334784 = 4648^2 + 1528^2 .

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

It is a super-2 number, since 2×239386882 = 1146121566322688, which contains 22 as substring.

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, 488 + ... + 6936.

Almost surely, 223938688 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 23938688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24671250).

23938688 is an abundant number, since it is smaller than the sum of its proper divisors (25403812).

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

23938688 is an equidigital number, since it uses as much as digits as its factorization.

23938688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6492 (or 6480 counting only the distinct ones).

The product of its digits is 497664, while the sum is 47.

The square root of 23938688 is about 4892.7178541175. The cubic root of 23938688 is about 288.2040734687.

The spelling of 23938688 in words is "twenty-three million, nine hundred thirty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1856 3712 6449 12898 25796 51592 103184 187021 206368 374042 412736 748084 825472 1496168 2992336 5984672 11969344 23938688