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23272896 = 263472579
BaseRepresentation
bin101100011000…
…1110111000000
31121210101102010
41120301313000
521424213041
62150452520
7401550003
oct130616700
947711363
1023272896
11121562a9
127964140
134a8b05a
14313b53a
15209aa16
hex1631dc0

23272896 has 56 divisors (see below), whose sum is σ = 62910720. Its totient is φ = 7589632.

The previous prime is 23272867. The next prime is 23272897. The reversal of 23272896 is 69827232.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23272897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7735 + ... + 10313.

Almost surely, 223272896 is an apocalyptic number.

23272896 is the 2579-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23272896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31455360).

23272896 is an abundant number, since it is smaller than the sum of its proper divisors (39637824).

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

23272896 is a wasteful number, since it uses less digits than its factorization.

23272896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2641 (or 2631 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 23272896 is about 4824.1990008705. The cubic root of 23272896 is about 285.5070321734.

The spelling of 23272896 in words is "twenty-three million, two hundred seventy-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 188 192 282 376 564 752 1128 1504 2256 2579 3008 4512 5158 7737 9024 10316 15474 20632 30948 41264 61896 82528 121213 123792 165056 242426 247584 363639 484852 495168 727278 969704 1454556 1939408 2909112 3878816 5818224 7757632 11636448 23272896