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37082056 = 23112831489
BaseRepresentation
bin1000110101110…
…1001111001000
32120202222000111
42031131033020
533443111211
63402444104
7630122644
oct215351710
976688014
1037082056
1119a28330
1210503634
1378b465b
144cd3c24
1533c7421
hex235d3c8

37082056 has 32 divisors (see below), whose sum is σ = 76168800. Its totient is φ = 16784640.

The previous prime is 37082051. The next prime is 37082063. The reversal of 37082056 is 65028073.

37082056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (37082051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24160 + ... + 25648.

It is an arithmetic number, because the mean of its divisors is an integer number (2380275).

Almost surely, 237082056 is an apocalyptic number.

It is an amenable number.

37082056 is an abundant number, since it is smaller than the sum of its proper divisors (39086744).

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

37082056 is a wasteful number, since it uses less digits than its factorization.

37082056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 37082056 is about 6089.5037564649. The cubic root of 37082056 is about 333.4683355381.

The spelling of 37082056 in words is "thirty-seven million, eighty-two thousand, fifty-six".

Divisors: 1 2 4 8 11 22 44 88 283 566 1132 1489 2264 2978 3113 5956 6226 11912 12452 16379 24904 32758 65516 131032 421387 842774 1685548 3371096 4635257 9270514 18541028 37082056