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23966496 = 253327739
BaseRepresentation
bin101101101101…
…1001100100000
31200002121212000
41123123030200
522113411441
62213404000
7410466111
oct133331440
950077760
1023966496
111258a424
128039600
134c71978
14327c208
1521862b6
hex16db320

23966496 has 48 divisors (see below), whose sum is σ = 69904800. Its totient is φ = 7988544.

The previous prime is 23966443. The next prime is 23966497. The reversal of 23966496 is 69466932.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (23966497) 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, 13006 + ... + 14733.

It is an arithmetic number, because the mean of its divisors is an integer number (1456350).

Almost surely, 223966496 is an apocalyptic number.

It is an amenable number.

23966496 is an abundant number, since it is smaller than the sum of its proper divisors (45938304).

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

23966496 is a wasteful number, since it uses less digits than its factorization.

23966496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27758 (or 27744 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 23966496 is about 4895.5588036505. The cubic root of 23966496 is about 288.3156261935.

The spelling of 23966496 in words is "twenty-three million, nine hundred sixty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 27739 55478 83217 110956 166434 221912 249651 332868 443824 499302 665736 748953 887648 998604 1331472 1497906 1997208 2662944 2995812 3994416 5991624 7988832 11983248 23966496