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39331872 = 253345523
BaseRepresentation
bin1001011000001…
…0100000100000
32202000021012000
42112002200200
540032104442
63523004000
7655213116
oct226024040
982007160
1039331872
1120224688
1211209600
1381c16c8
14531bab6
1536bdd4c
hex2582820

39331872 has 48 divisors (see below), whose sum is σ = 114720480. Its totient is φ = 13110336.

The previous prime is 39331871. The next prime is 39331891. The reversal of 39331872 is 27813393.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (39331871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21898 + ... + 23625.

It is an arithmetic number, because the mean of its divisors is an integer number (2390010).

Almost surely, 239331872 is an apocalyptic number.

39331872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

39331872 is an abundant number, since it is smaller than the sum of its proper divisors (75388608).

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

39331872 is a wasteful number, since it uses less digits than its factorization.

39331872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45542 (or 45528 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 39331872 is about 6271.5127361746. The cubic root of 39331872 is about 340.0803500987.

The spelling of 39331872 in words is "thirty-nine million, three hundred thirty-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 45523 91046 136569 182092 273138 364184 409707 546276 728368 819414 1092552 1229121 1456736 1638828 2185104 2458242 3277656 4370208 4916484 6555312 9832968 13110624 19665936 39331872