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31457408 = 27534637
BaseRepresentation
bin111100000000…
…0000010000000
32012012012110012
41320000002000
531023114113
63042124052
7531245363
oct170000200
965165405
1031457408
1116836464
12a650628
136695468
14426c0da
152b65aa8
hex1e00080

31457408 has 32 divisors (see below), whose sum is σ = 63865260. Its totient is φ = 15428608.

The previous prime is 31457383. The next prime is 31457411. The reversal of 31457408 is 80475413.

It can be written as a sum of positive squares in 2 ways, for example, as 31449664 + 7744 = 5608^2 + 88^2 .

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4466 + ... + 9102.

Almost surely, 231457408 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 31457408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31932630).

31457408 is an abundant number, since it is smaller than the sum of its proper divisors (32407852).

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

31457408 is an equidigital number, since it uses as much as digits as its factorization.

31457408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4704 (or 4692 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 31457408 is about 5608.6903997279. The cubic root of 31457408 is about 315.6755736755.

The spelling of 31457408 in words is "thirty-one million, four hundred fifty-seven thousand, four hundred eight".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 424 848 1696 3392 4637 6784 9274 18548 37096 74192 148384 245761 296768 491522 593536 983044 1966088 3932176 7864352 15728704 31457408