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23932896 = 25313127151
BaseRepresentation
bin101101101001…
…0111111100000
31200000220202120
41123102333200
522111323041
62212544240
7410266131
oct133227740
950026676
1023932896
1112567159
128022080
134c5c5a0
14326dc88
15217b366
hex16d2fe0

23932896 has 96 divisors (see below), whose sum is σ = 68640768. Its totient is φ = 7257600.

The previous prime is 23932879. The next prime is 23932921. The reversal of 23932896 is 69823932.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158421 + ... + 158571.

It is an arithmetic number, because the mean of its divisors is an integer number (715008).

Almost surely, 223932896 is an apocalyptic number.

23932896 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23932896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34320384).

23932896 is an abundant number, since it is smaller than the sum of its proper divisors (44707872).

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

23932896 is a wasteful number, since it uses less digits than its factorization.

23932896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 296 counting only the distinct ones).

The product of its digits is 139968, while the sum is 42.

The square root of 23932896 is about 4892.1259182486. The cubic root of 23932896 is about 288.1808277971.

The spelling of 23932896 in words is "twenty-three million, nine hundred thirty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 127 151 156 208 254 302 312 381 416 453 508 604 624 762 906 1016 1208 1248 1524 1651 1812 1963 2032 2416 3048 3302 3624 3926 4064 4832 4953 5889 6096 6604 7248 7852 9906 11778 12192 13208 14496 15704 19177 19812 23556 26416 31408 38354 39624 47112 52832 57531 62816 76708 79248 94224 115062 153416 158496 188448 230124 249301 306832 460248 498602 613664 747903 920496 997204 1495806 1840992 1994408 2991612 3988816 5983224 7977632 11966448 23932896