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23393825 = 5272132113
BaseRepresentation
bin101100100111…
…1011000100001
31122000112021222
41121033120201
521442100300
62153224425
7402562400
oct131173041
948015258
1023393825
1112229144
127a02115
134b01100
14316d637
1520c1785
hex164f621

23393825 has 54 divisors (see below), whose sum is σ = 36863154. Its totient is φ = 14676480.

The previous prime is 23393813. The next prime is 23393831. The reversal of 23393825 is 52839332.

It can be written as a sum of positive squares in 9 ways, for example, as 21086464 + 2307361 = 4592^2 + 1519^2 .

It is not a de Polignac number, because 23393825 - 218 = 23131681 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 206969 + ... + 207081.

It is an arithmetic number, because the mean of its divisors is an integer number (682651).

Almost surely, 223393825 is an apocalyptic number.

23393825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

23393825 is a deficient number, since it is larger than the sum of its proper divisors (13469329).

23393825 is a wasteful number, since it uses less digits than its factorization.

23393825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 138 counting only the distinct ones).

The product of its digits is 38880, while the sum is 35.

The square root of 23393825 is about 4836.7163447943. The cubic root of 23393825 is about 286.0006887036. Note that the first 3 decimals are identical.

The spelling of 23393825 in words is "twenty-three million, three hundred ninety-three thousand, eight hundred twenty-five".

Divisors: 1 5 7 13 25 35 49 65 91 113 169 175 245 325 455 565 637 791 845 1183 1225 1469 2275 2825 3185 3955 4225 5537 5915 7345 8281 10283 15925 19097 19775 27685 29575 36725 41405 51415 71981 95485 133679 138425 207025 257075 359905 477425 668395 935753 1799525 3341975 4678765 23393825