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56035692 = 22332112459
BaseRepresentation
bin1101010111000…
…0100101101100
310220102220112000
43111300211230
5103321120232
65321012300
71250203236
oct325604554
9126386460
1056035692
11296a3499
1216924090
13b7bc71b
147629256
154dbd27c
hex357096c

56035692 has 48 divisors (see below), whose sum is σ = 146025600. Its totient is φ = 18582480.

The previous prime is 56035691. The next prime is 56035697. The reversal of 56035692 is 29653065.

56035692 is a `hidden beast` number, since 560 + 3 + 5 + 6 + 92 = 666.

56035692 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (56035691) 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 15 ways as a sum of consecutive naturals, for example, 21559 + ... + 24017.

It is an arithmetic number, because the mean of its divisors is an integer number (3042200).

Almost surely, 256035692 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 56035692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73012800).

56035692 is an abundant number, since it is smaller than the sum of its proper divisors (89989908).

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

56035692 is a wasteful number, since it uses less digits than its factorization.

56035692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2683 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 56035692 is about 7485.6991657426. The cubic root of 56035692 is about 382.6675006490.

The spelling of 56035692 in words is "fifty-six million, thirty-five thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 211 422 633 844 1266 1899 2459 2532 3798 4918 5697 7377 7596 9836 11394 14754 22131 22788 29508 44262 66393 88524 132786 265572 518849 1037698 1556547 2075396 3113094 4669641 6226188 9339282 14008923 18678564 28017846 56035692