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23999472 = 2432729821
BaseRepresentation
bin101101110001…
…1001111110000
31200011022002100
41123203033300
522120440342
62214220400
7410664210
oct133431760
950138070
1023999472
1112602182
128054700
134c83993
14328a240
152190e4c
hex16e33f0

23999472 has 120 divisors (see below), whose sum is σ = 79503840. Its totient is φ = 6612480.

The previous prime is 23999471. The next prime is 23999477. The reversal of 23999472 is 27499932.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23999471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28822 + ... + 29642.

It is an arithmetic number, because the mean of its divisors is an integer number (662532).

Almost surely, 223999472 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 23999472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39751920).

23999472 is an abundant number, since it is smaller than the sum of its proper divisors (55504368).

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

23999472 is a wasteful number, since it uses less digits than its factorization.

23999472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 862 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 23999472 is about 4898.9255964956. The cubic root of 23999472 is about 288.4477987466.

The spelling of 23999472 in words is "twenty-three million, nine hundred ninety-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 36 42 48 56 58 63 72 84 87 112 116 126 144 168 174 203 232 252 261 336 348 406 464 504 522 609 696 812 821 1008 1044 1218 1392 1624 1642 1827 2088 2436 2463 3248 3284 3654 4176 4872 4926 5747 6568 7308 7389 9744 9852 11494 13136 14616 14778 17241 19704 22988 23809 29232 29556 34482 39408 45976 47618 51723 59112 68964 71427 91952 95236 103446 118224 137928 142854 166663 190472 206892 214281 275856 285708 333326 380944 413784 428562 499989 571416 666652 827568 857124 999978 1142832 1333304 1499967 1714248 1999956 2666608 2999934 3428496 3999912 5999868 7999824 11999736 23999472