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56105694 = 23223532557
BaseRepresentation
bin1101011000000…
…1101011011110
310220120110112200
43112001223132
5103330340234
65322312330
71250614311
oct326015336
9126513480
1056105694
1129741047
12169586a6
13b815548
147646978
154dd3d99
hex3581ade

56105694 has 48 divisors (see below), whose sum is σ = 129291552. Its totient is φ = 17544384.

The previous prime is 56105681. The next prime is 56105713. The reversal of 56105694 is 49650165.

56105694 is a `hidden beast` number, since 561 + 0 + 5 + 6 + 94 = 666.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20664 + ... + 23220.

It is an arithmetic number, because the mean of its divisors is an integer number (2693574).

Almost surely, 256105694 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56105694, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64645776).

56105694 is an abundant number, since it is smaller than the sum of its proper divisors (73185858).

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

56105694 is a wasteful number, since it uses less digits than its factorization.

56105694 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2641 (or 2638 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 56105694 is about 7490.3734219330. The cubic root of 56105694 is about 382.8267821266.

The spelling of 56105694 in words is "fifty-six million, one hundred five thousand, six hundred ninety-four".

Divisors: 1 2 3 6 9 18 23 46 53 69 106 138 159 207 318 414 477 954 1219 2438 2557 3657 5114 7314 7671 10971 15342 21942 23013 46026 58811 117622 135521 176433 271042 352866 406563 529299 813126 1058598 1219689 2439378 3116983 6233966 9350949 18701898 28052847 56105694