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23996928 = 29317919
BaseRepresentation
bin101101110001…
…0101000000000
31200011011121010
41123202220000
522120400203
62214200520
7410653614
oct133425000
950134533
1023996928
111260027a
128053140
134c82787
143289344
152190303
hex16e2a00

23996928 has 80 divisors (see below), whose sum is σ = 67763520. Its totient is φ = 7520256.

The previous prime is 23996923. The next prime is 23996933. The reversal of 23996928 is 82969932.

It is an interprime number because it is at equal distance from previous prime (23996923) and next prime (23996933).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (23996923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25653 + ... + 26571.

It is an arithmetic number, because the mean of its divisors is an integer number (847044).

Almost surely, 223996928 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 23996928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33881760).

23996928 is an abundant number, since it is smaller than the sum of its proper divisors (43766592).

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

23996928 is an equidigital number, since it uses as much as digits as its factorization.

23996928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 941 counting only the distinct ones).

The product of its digits is 419904, while the sum is 48.

The square root of 23996928 is about 4898.6659408455. The cubic root of 23996928 is about 288.4376063400.

The spelling of 23996928 in words is "twenty-three million, nine hundred ninety-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 919 1088 1536 1632 1838 2176 2757 3264 3676 4352 5514 6528 7352 8704 11028 13056 14704 15623 22056 26112 29408 31246 44112 46869 58816 62492 88224 93738 117632 124984 176448 187476 235264 249968 352896 374952 470528 499936 705792 749904 999872 1411584 1499808 1999744 2999616 3999488 5999232 7998976 11998464 23996928