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56105616 = 2437374513
BaseRepresentation
bin1101011000000…
…1101010010000
310220120110102210
43112001222100
5103330334431
65322312120
71250614140
oct326015220
9126513383
1056105616
1129740a86
1216958640
13b8154b8
147646920
154dd3d46
hex3581a90

56105616 has 80 divisors (see below), whose sum is σ = 170159744. Its totient is φ = 15593472.

The previous prime is 56105611. The next prime is 56105663. The reversal of 56105616 is 61650165.

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

It is not an unprimeable number, because it can be changed into a prime (56105611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10176 + ... + 14688.

Almost surely, 256105616 is an apocalyptic number.

56105616 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56105616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85079872).

56105616 is an abundant number, since it is smaller than the sum of its proper divisors (114054128).

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

56105616 is a wasteful number, since it uses less digits than its factorization.

56105616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4568 (or 4562 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 56105616 is about 7490.3682152482. The cubic root of 56105616 is about 382.8266047203.

The spelling of 56105616 in words is "fifty-six million, one hundred five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 56 74 84 111 112 148 168 222 259 296 336 444 518 592 777 888 1036 1554 1776 2072 3108 4144 4513 6216 9026 12432 13539 18052 27078 31591 36104 54156 63182 72208 94773 108312 126364 166981 189546 216624 252728 333962 379092 500943 505456 667924 758184 1001886 1168867 1335848 1516368 2003772 2337734 2671696 3506601 4007544 4675468 7013202 8015088 9350936 14026404 18701872 28052808 56105616