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31315872 = 253746601
BaseRepresentation
bin111011101110…
…1011110100000
32011221000022010
41313131132200
531004101442
63035112520
7530115630
oct167353640
964830263
1031315872
111674a095
12a5a2740
136645c03
1442326c0
152b38b9c
hex1ddd7a0

31315872 has 48 divisors (see below), whose sum is σ = 93949632. Its totient is φ = 8947200.

The previous prime is 31315861. The next prime is 31315877. The reversal of 31315872 is 27851313.

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 (31315877) 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, 22629 + ... + 23972.

It is an arithmetic number, because the mean of its divisors is an integer number (1957284).

Almost surely, 231315872 is an apocalyptic number.

31315872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31315872 is an abundant number, since it is smaller than the sum of its proper divisors (62633760).

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

31315872 is a wasteful number, since it uses less digits than its factorization.

31315872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46621 (or 46613 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 31315872 is about 5596.0586129883. The cubic root of 31315872 is about 315.2014232030.

The spelling of 31315872 in words is "thirty-one million, three hundred fifteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 46601 93202 139803 186404 279606 326207 372808 559212 652414 745616 978621 1118424 1304828 1491232 1957242 2236848 2609656 3914484 4473696 5219312 7828968 10438624 15657936 31315872