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31009896 = 23321672579
BaseRepresentation
bin111011001001…
…0110001101000
32011100110120200
41312102301220
530414304041
63024352200
7524402601
oct166226150
964313520
1031009896
1116560215
12a475660
136569868
144192da8
152ac81b6
hex1d92c68

31009896 has 48 divisors (see below), whose sum is σ = 84520800. Its totient is φ = 10270752.

The previous prime is 31009883. The next prime is 31009907. The reversal of 31009896 is 69890013.

It is a super-2 number, since 2×310098962 = 1923227299861632, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 31009896.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10735 + ... + 13313.

It is an arithmetic number, because the mean of its divisors is an integer number (1760850).

Almost surely, 231009896 is an apocalyptic number.

31009896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31009896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42260400).

31009896 is an abundant number, since it is smaller than the sum of its proper divisors (53510904).

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

31009896 is a wasteful number, since it uses less digits than its factorization.

31009896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2758 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 31009896 is about 5568.6529789528. The cubic root of 31009896 is about 314.1714886753.

It can be divided in two parts, 3100 and 9896, that added together give a square (12996 = 1142).

The spelling of 31009896 in words is "thirty-one million, nine thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 167 334 501 668 1002 1336 1503 2004 2579 3006 4008 5158 6012 7737 10316 12024 15474 20632 23211 30948 46422 61896 92844 185688 430693 861386 1292079 1722772 2584158 3445544 3876237 5168316 7752474 10336632 15504948 31009896