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31425696 = 2532195743
BaseRepresentation
bin111011111100…
…0010010100000
32012010120221200
41313320102200
531021110241
63041321200
7531054051
oct167702240
965116850
1031425696
1116814655
12a636200
136683bb3
144260728
152b5b4b6
hex1df84a0

31425696 has 72 divisors (see below), whose sum is σ = 94086720. Its totient is φ = 9922176.

The previous prime is 31425683. The next prime is 31425727. The reversal of 31425696 is 69652413.

It is a happy number.

31425696 is a `hidden beast` number, since 314 + 256 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 31425696.

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, 2601 + ... + 8343.

It is an arithmetic number, because the mean of its divisors is an integer number (1306760).

Almost surely, 231425696 is an apocalyptic number.

31425696 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 31425696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47043360).

31425696 is an abundant number, since it is smaller than the sum of its proper divisors (62661024).

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

31425696 is a wasteful number, since it uses less digits than its factorization.

31425696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5778 (or 5767 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 31425696 is about 5605.8626454811. The cubic root of 31425696 is about 315.5694612077.

The spelling of 31425696 in words is "thirty-one million, four hundred twenty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 5743 11486 17229 22972 34458 45944 51687 68916 91888 103374 109117 137832 183776 206748 218234 275664 327351 413496 436468 551328 654702 826992 872936 982053 1309404 1653984 1745872 1964106 2618808 3491744 3928212 5237616 7856424 10475232 15712848 31425696