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239855664 = 24347106319
BaseRepresentation
bin11100100101111…
…10100000110000
3121201022221010010
432102332200300
5442400340124
635444534520
75641511436
oct1622764060
9551287103
10239855664
11113435124
12683b1440
133a900239
1423bd8d56
15160cd529
hexe4be830

239855664 has 40 divisors (see below), whose sum is σ = 632816640. Its totient is φ = 78250048.

The previous prime is 239855663. The next prime is 239855701. The reversal of 239855664 is 466558932.

239855664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (239855663) by changing a digit.

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, 50904 + ... + 55415.

It is an arithmetic number, because the mean of its divisors is an integer number (15820416).

Almost surely, 2239855664 is an apocalyptic number.

239855664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

239855664 is an abundant number, since it is smaller than the sum of its proper divisors (392960976).

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

239855664 is a wasteful number, since it uses less digits than its factorization.

239855664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106377 (or 106371 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 48.

The square root of 239855664 is about 15487.2742598561. The cubic root of 239855664 is about 621.3218968998.

The spelling of 239855664 in words is "two hundred thirty-nine million, eight hundred fifty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 1128 2256 106319 212638 318957 425276 637914 850552 1275828 1701104 2551656 4996993 5103312 9993986 14990979 19987972 29981958 39975944 59963916 79951888 119927832 239855664