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31613056 = 27312257
BaseRepresentation
bin111100010011…
…0000010000000
32012111002221221
41320212002000
531043104211
63045324424
7532464226
oct170460200
965432857
1031613056
11169323a2
12a706714
13671b267
1442acb16
152b96c71
hex1e26080

31613056 has 48 divisors (see below), whose sum is σ = 65329470. Its totient is φ = 15237120.

The previous prime is 31613053. The next prime is 31613107. The reversal of 31613056 is 65031613.

It can be written as a sum of positive squares in only one way, i.e., 17774656 + 13838400 = 4216^2 + 3720^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 31613056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31613053) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 122880 + ... + 123136.

Almost surely, 231613056 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 31613056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32664735).

31613056 is an abundant number, since it is smaller than the sum of its proper divisors (33716414).

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

31613056 is an equidigital number, since it uses as much as digits as its factorization.

31613056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 31613056 is about 5622.5488881823. The cubic root of 31613056 is about 316.1953606906.

Adding to 31613056 its reverse (65031613), we get a palindrome (96644669).

The spelling of 31613056 in words is "thirty-one million, six hundred thirteen thousand, fifty-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 257 496 514 961 992 1028 1922 1984 2056 3844 3968 4112 7688 7967 8224 15376 15934 16448 30752 31868 32896 61504 63736 123008 127472 246977 254944 493954 509888 987908 1019776 1975816 3951632 7903264 15806528 31613056