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23923008 = 2632411013
BaseRepresentation
bin101101101000…
…0100101000000
31200000102012100
41123100211000
522111014013
62212430400
7410225244
oct133204500
950012170
1023923008
111255a78a
128018400
134c57c35
14326a424
152178473
hex16d0940

23923008 has 84 divisors (see below), whose sum is σ = 70312788. Its totient is φ = 7772160.

The previous prime is 23923001. The next prime is 23923019. The reversal of 23923008 is 80032932.

It can be written as a sum of positive squares in 2 ways, for example, as 419904 + 23503104 = 648^2 + 4848^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23923001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23110 + ... + 24122.

It is an arithmetic number, because the mean of its divisors is an integer number (837057).

Almost surely, 223923008 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 23923008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35156394).

23923008 is an abundant number, since it is smaller than the sum of its proper divisors (46389780).

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

23923008 is a wasteful number, since it uses less digits than its factorization.

23923008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 23923008 is about 4891.1152102562. The cubic root of 23923008 is about 288.1411345294.

The spelling of 23923008 in words is "twenty-three million, nine hundred twenty-three thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 144 164 192 246 288 328 369 492 576 656 738 984 1013 1312 1476 1968 2026 2624 2952 3039 3936 4052 5904 6078 7872 8104 9117 11808 12156 16208 18234 23616 24312 32416 36468 41533 48624 64832 72936 83066 97248 124599 145872 166132 194496 249198 291744 332264 373797 498396 583488 664528 747594 996792 1329056 1495188 1993584 2658112 2990376 3987168 5980752 7974336 11961504 23923008