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31431712 = 251375557
BaseRepresentation
bin111011111100…
…1110000100000
32012010220012111
41313321300200
531021303322
63041405104
7531110434
oct167716040
965126174
1031431712
1116819124
12a639794
136686860
1442629c4
152b5d177
hex1df9c20

31431712 has 24 divisors (see below), whose sum is σ = 66642156. Its totient is φ = 14506752.

The previous prime is 31431689. The next prime is 31431713. The reversal of 31431712 is 21713413.

It can be written as a sum of positive squares in 2 ways, for example, as 31404816 + 26896 = 5604^2 + 164^2 .

It is not an unprimeable number, because it can be changed into a prime (31431713) 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 3 ways as a sum of consecutive naturals, for example, 37363 + ... + 38194.

Almost surely, 231431712 is an apocalyptic number.

31431712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31431712 is an abundant number, since it is smaller than the sum of its proper divisors (35210444).

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

31431712 is a wasteful number, since it uses less digits than its factorization.

31431712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75580 (or 75572 counting only the distinct ones).

The product of its digits is 504, while the sum is 22.

The square root of 31431712 is about 5606.3992009132. The cubic root of 31431712 is about 315.5895970094.

The spelling of 31431712 in words is "thirty-one million, four hundred thirty-one thousand, seven hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 75557 151114 302228 604456 982241 1208912 1964482 2417824 3928964 7857928 15715856 31431712