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23885664 = 2531122619
BaseRepresentation
bin101101100011…
…1011101100000
31122221111222020
41123013131200
522103320124
62211541440
7410011335
oct133073540
948844866
1023885664
1112534720
127bba880
134c43c3a
14325a98c
15216c379
hex16c7760

23885664 has 48 divisors (see below), whose sum is σ = 68402880. Its totient is φ = 7237760.

The previous prime is 23885651. The next prime is 23885671. The reversal of 23885664 is 46658832.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10254 + ... + 12365.

It is an arithmetic number, because the mean of its divisors is an integer number (1425060).

Almost surely, 223885664 is an apocalyptic number.

23885664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23885664 is an abundant number, since it is smaller than the sum of its proper divisors (44517216).

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

23885664 is a wasteful number, since it uses less digits than its factorization.

23885664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22643 (or 22635 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 23885664 is about 4887.2961850086. The cubic root of 23885664 is about 287.9911262698.

The spelling of 23885664 in words is "twenty-three million, eight hundred eighty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 22619 45238 67857 90476 135714 180952 248809 271428 361904 497618 542856 723808 746427 995236 1085712 1492854 1990472 2171424 2985708 3980944 5971416 7961888 11942832 23885664