Search a number
-
+
56207016 = 233219181227
BaseRepresentation
bin1101011001101…
…0011010101000
310220202121112100
43112122122220
5103342111031
65324413400
71251515565
oct326323250
9126677470
1056207016
1129800188
12169a7260
13b84c6b8
14767186c
154e03de6
hex359a6a8

56207016 has 96 divisors (see below), whose sum is σ = 161834400. Its totient is φ = 17573760.

The previous prime is 56206961. The next prime is 56207051. The reversal of 56207016 is 61070265.

56207016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 247495 + ... + 247721.

It is an arithmetic number, because the mean of its divisors is an integer number (1685775).

Almost surely, 256207016 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 56207016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80917200).

56207016 is an abundant number, since it is smaller than the sum of its proper divisors (105627384).

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

56207016 is a wasteful number, since it uses less digits than its factorization.

56207016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 56207016 is about 7497.1338523465. The cubic root of 56207016 is about 383.0570941570.

The spelling of 56207016 in words is "fifty-six million, two hundred seven thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 181 227 228 342 362 454 456 543 681 684 724 908 1086 1362 1368 1448 1629 1816 2043 2172 2724 3258 3439 4086 4313 4344 5448 6516 6878 8172 8626 10317 12939 13032 13756 16344 17252 20634 25878 27512 30951 34504 38817 41087 41268 51756 61902 77634 82174 82536 103512 123261 123804 155268 164348 246522 247608 310536 328696 369783 493044 739566 780653 986088 1479132 1561306 2341959 2958264 3122612 4683918 6245224 7025877 9367836 14051754 18735672 28103508 56207016