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23925864 = 2331971739
BaseRepresentation
bin101101101000…
…1010001101000
31200000120010010
41123101101220
522111111424
62212451520
7410236464
oct133212150
950016103
1023925864
1112561946
128019ba0
134c59321
14326b4a4
152179229
hex16d1468

23925864 has 64 divisors (see below), whose sum is σ = 63936000. Its totient is φ = 7439040.

The previous prime is 23925859. The next prime is 23925871. The reversal of 23925864 is 46852932.

It is a happy number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 32007 + ... + 32745.

It is an arithmetic number, because the mean of its divisors is an integer number (999000).

Almost surely, 223925864 is an apocalyptic number.

23925864 is a gapful number since it is divisible by the number (24) 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 23925864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31968000).

23925864 is an abundant number, since it is smaller than the sum of its proper divisors (40010136).

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

23925864 is a wasteful number, since it uses less digits than its factorization.

23925864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 834 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 23925864 is about 4891.4071594992. The cubic root of 23925864 is about 288.1526004556.

Adding to 23925864 its sum of digits (39), we get a triangular number (23925903 = T6917).

It can be divided in two parts, 2392 and 5864, that added together give a triangular number (8256 = T128).

The spelling of 23925864 in words is "twenty-three million, nine hundred twenty-five thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 71 76 114 142 152 213 228 284 426 456 568 739 852 1349 1478 1704 2217 2698 2956 4047 4434 5396 5912 8094 8868 10792 14041 16188 17736 28082 32376 42123 52469 56164 84246 104938 112328 157407 168492 209876 314814 336984 419752 629628 996911 1259256 1993822 2990733 3987644 5981466 7975288 11962932 23925864