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56910084 = 223711173623
BaseRepresentation
bin1101100100011…
…0000100000100
310222002022221220
43121012010010
5104032110314
65351440340
71260504420
oct331060404
9128068856
1056910084
112a140430
12170860b0
13ba3770a
1477b5b80
154ee23a9
hex3646104

56910084 has 96 divisors (see below), whose sum is σ = 175343616. Its totient is φ = 13908480.

The previous prime is 56910053. The next prime is 56910089. The reversal of 56910084 is 48001965.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (56910089) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13897 + ... + 17519.

It is an arithmetic number, because the mean of its divisors is an integer number (1826496).

Almost surely, 256910084 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 56910084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87671808).

56910084 is an abundant number, since it is smaller than the sum of its proper divisors (118433532).

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

56910084 is a wasteful number, since it uses less digits than its factorization.

56910084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3665 (or 3663 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 56910084 is about 7543.8772524478. The cubic root of 56910084 is about 384.6476429846.

The spelling of 56910084 in words is "fifty-six million, nine hundred ten thousand, eighty-four".

Divisors: 1 2 3 4 6 7 11 12 14 17 21 22 28 33 34 42 44 51 66 68 77 84 102 119 132 154 187 204 231 238 308 357 374 462 476 561 714 748 924 1122 1309 1428 2244 2618 3623 3927 5236 7246 7854 10869 14492 15708 21738 25361 39853 43476 50722 61591 76083 79706 101444 119559 123182 152166 159412 184773 239118 246364 278971 304332 369546 431137 478236 557942 677501 739092 836913 862274 1115884 1293411 1355002 1673826 1724548 2032503 2586822 2710004 3347652 4065006 4742507 5173644 8130012 9485014 14227521 18970028 28455042 56910084