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31142656 = 28239509
BaseRepresentation
bin111011011001…
…1001100000000
32011121012200201
41312303030000
530433031111
63031254544
7525464626
oct166631400
964535621
1031142656
1116640a36
12a51a454
1365b510c
1441c9516
152b026c1
hex1db3300

31142656 has 36 divisors (see below), whose sum is σ = 62546400. Its totient is φ = 15475712.

The previous prime is 31142651. The next prime is 31142663. The reversal of 31142656 is 65624113.

It is not an unprimeable number, because it can be changed into a prime (31142651) by changing a digit.

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, 60930 + ... + 61438.

It is an arithmetic number, because the mean of its divisors is an integer number (1737400).

Almost surely, 231142656 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 31142656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31273200).

31142656 is an abundant number, since it is smaller than the sum of its proper divisors (31403744).

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

31142656 is an equidigital number, since it uses as much as digits as its factorization.

31142656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 750 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

The square root of 31142656 is about 5580.5605453216. The cubic root of 31142656 is about 314.6191954945.

Adding to 31142656 its reverse (65624113), we get a palindrome (96766769).

The spelling of 31142656 in words is "thirty-one million, one hundred forty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 239 256 478 509 956 1018 1912 2036 3824 4072 7648 8144 15296 16288 30592 32576 61184 65152 121651 130304 243302 486604 973208 1946416 3892832 7785664 15571328 31142656