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56108646 = 23311591601
BaseRepresentation
bin1101011000001…
…0011001100110
310220120121121000
43112002121212
5103330434041
65322334130
71250626026
oct326023146
9126517530
1056108646
1129743290
121695a346
13b8169a9
147647a86
154dd4bb6
hex3582666

56108646 has 64 divisors (see below), whose sum is σ = 138412800. Its totient is φ = 16704000.

The previous prime is 56108641. The next prime is 56108651. The reversal of 56108646 is 64680165.

56108646 is a `hidden beast` number, since 5 + 6 + 1 + 0 + 8 + 646 = 666.

It is an interprime number because it is at equal distance from previous prime (56108641) and next prime (56108651).

It is a self number, because there is not a number n which added to its sum of digits gives 56108646.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56108641) 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, 34246 + ... + 35846.

It is an arithmetic number, because the mean of its divisors is an integer number (2162700).

Almost surely, 256108646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56108646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69206400).

56108646 is an abundant number, since it is smaller than the sum of its proper divisors (82304154).

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

56108646 is a wasteful number, since it uses less digits than its factorization.

56108646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 56108646 is about 7490.5704722671. The cubic root of 56108646 is about 382.8334961501.

The spelling of 56108646 in words is "fifty-six million, one hundred eight thousand, six hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 59 66 99 118 177 198 297 354 531 594 649 1062 1298 1593 1601 1947 3186 3202 3894 4803 5841 9606 11682 14409 17523 17611 28818 35046 35222 43227 52833 86454 94459 105666 158499 188918 283377 316998 475497 566754 850131 950994 1039049 1700262 2078098 2550393 3117147 5100786 6234294 9351441 18702882 28054323 56108646