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31424896 = 27972531
BaseRepresentation
bin111011111100…
…0000110000000
32012010112212001
41313320012000
531021044041
63041313344
7531051526
oct167700600
965115761
1031424896
1116813a98
12a635854
136683719
144260316
152b5b131
hex1df8180

31424896 has 32 divisors (see below), whose sum is σ = 63274680. Its totient is φ = 15544320.

The previous prime is 31424881. The next prime is 31424947. The reversal of 31424896 is 69842413.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×314248962 = 1975048177221632, which contains 22 as substring.

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, 11151 + ... + 13681.

Almost surely, 231424896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31424896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31637340).

31424896 is an abundant number, since it is smaller than the sum of its proper divisors (31849784).

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

31424896 is an equidigital number, since it uses as much as digits as its factorization.

31424896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2642 (or 2630 counting only the distinct ones).

The product of its digits is 41472, while the sum is 37.

The square root of 31424896 is about 5605.7912911560. The cubic root of 31424896 is about 315.5667833809.

The spelling of 31424896 in words is "thirty-one million, four hundred twenty-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 97 128 194 388 776 1552 2531 3104 5062 6208 10124 12416 20248 40496 80992 161984 245507 323968 491014 982028 1964056 3928112 7856224 15712448 31424896