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23038752 = 2531121817
BaseRepresentation
bin101011111100…
…0101100100000
31121100111020010
41113320230200
521344220002
62141444520
7366553242
oct127705440
947314203
1023038752
11120063a0
127870740
134a085c9
1430ba092
15205146c
hex15f8b20

23038752 has 48 divisors (see below), whose sum is σ = 65977632. Its totient is φ = 6981120.

The previous prime is 23038711. The next prime is 23038759. The reversal of 23038752 is 25783032.

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

It is not an unprimeable number, because it can be changed into a prime (23038759) 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, 9853 + ... + 11964.

It is an arithmetic number, because the mean of its divisors is an integer number (1374534).

Almost surely, 223038752 is an apocalyptic number.

23038752 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23038752 is an abundant number, since it is smaller than the sum of its proper divisors (42938880).

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

23038752 is a wasteful number, since it uses less digits than its factorization.

23038752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21841 (or 21833 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 23038752 is about 4799.8699982395. The cubic root of 23038752 is about 284.5463265317.

The spelling of 23038752 in words is "twenty-three million, thirty-eight thousand, seven hundred fifty-two".

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 21817 43634 65451 87268 130902 174536 239987 261804 349072 479974 523608 698144 719961 959948 1047216 1439922 1919896 2094432 2879844 3839792 5759688 7679584 11519376 23038752