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23424975 = 32527107139
BaseRepresentation
bin101100101011…
…0111111001111
31122002010000200
41121112333033
521444044400
62154024543
7403052250
oct131267717
948063020
1023424975
111224a592
127a18153
134b12342
14317ab27
1520cab00
hex1656fcf

23424975 has 72 divisors (see below), whose sum is σ = 48746880. Its totient is φ = 10532160.

The previous prime is 23424949. The next prime is 23424979. The reversal of 23424975 is 57942432.

It is not a de Polignac number, because 23424975 - 25 = 23424943 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23424979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 168456 + ... + 168594.

It is an arithmetic number, because the mean of its divisors is an integer number (677040).

Almost surely, 223424975 is an apocalyptic number.

23424975 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

23424975 is an abundant number, since it is smaller than the sum of its proper divisors (25321905).

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

23424975 is a wasteful number, since it uses less digits than its factorization.

23424975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 261 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 23424975 is about 4839.9354334536. The cubic root of 23424975 is about 286.1275736138.

The spelling of 23424975 in words is "twenty-three million, four hundred twenty-four thousand, nine hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 107 139 175 225 315 321 417 525 535 695 749 963 973 1251 1575 1605 2085 2247 2675 2919 3475 3745 4815 4865 6255 6741 8025 8757 10425 11235 14595 14873 18725 24075 24325 31275 33705 43785 44619 56175 72975 74365 104111 133857 168525 218925 223095 312333 371825 520555 669285 936999 1115475 1561665 2602775 3346425 4684995 7808325 23424975