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56108840 = 23517109757
BaseRepresentation
bin1101011000001…
…0011100101000
310220120121212012
43112002130220
5103330440330
65322335052
71250626424
oct326023450
9126517765
1056108840
1129743447
121695a488
13b816ac8
147647b84
154dd4c95
hex3582728

56108840 has 64 divisors (see below), whose sum is σ = 135075600. Its totient is φ = 20901888.

The previous prime is 56108839. The next prime is 56108849. The reversal of 56108840 is 4880165.

It can be written as a sum of positive squares in 8 ways, for example, as 40883236 + 15225604 = 6394^2 + 3902^2 .

It is a super-2 number, since 2×561088402 = 6296403852291200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 56108797 and 56108806.

It is not an unprimeable number, because it can be changed into a prime (56108849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73742 + ... + 74498.

Almost surely, 256108840 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 56108840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67537800).

56108840 is an abundant number, since it is smaller than the sum of its proper divisors (78966760).

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

56108840 is a wasteful number, since it uses less digits than its factorization.

56108840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 56108840 is about 7490.5834218704. The cubic root of 56108840 is about 382.8339373751.

The spelling of 56108840 in words is "fifty-six million, one hundred eight thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 109 136 170 218 340 436 545 680 757 872 1090 1514 1853 2180 3028 3706 3785 4360 6056 7412 7570 9265 12869 14824 15140 18530 25738 30280 37060 51476 64345 74120 82513 102952 128690 165026 257380 330052 412565 514760 660104 825130 1402721 1650260 2805442 3300520 5610884 7013605 11221768 14027210 28054420 56108840