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31008992 = 257138433
BaseRepresentation
bin111011001001…
…0100011100000
32011100102100012
41312102203200
530414241432
63024344052
7524400140
oct166224340
964312305
1031008992
111655a573
12a475028
136569321
144192920
152ac7cb2
hex1d928e0

31008992 has 24 divisors (see below), whose sum is σ = 69770736. Its totient is φ = 13289472.

The previous prime is 31008983. The next prime is 31009009. The reversal of 31008992 is 29980013.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 68993 + ... + 69440.

It is an arithmetic number, because the mean of its divisors is an integer number (2907114).

Almost surely, 231008992 is an apocalyptic number.

31008992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31008992 is an abundant number, since it is smaller than the sum of its proper divisors (38761744).

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

31008992 is a wasteful number, since it uses less digits than its factorization.

31008992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138450 (or 138442 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 31008992 is about 5568.5718097193. The cubic root of 31008992 is about 314.1684357382.

The spelling of 31008992 in words is "thirty-one million, eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 138433 276866 553732 969031 1107464 1938062 2214928 3876124 4429856 7752248 15504496 31008992