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56002716 = 223271189227
BaseRepresentation
bin1101010110100…
…0100010011100
310220101020021200
43111220202130
5103314041331
65320155500
71250005140
oct325504234
9126336250
1056002716
1129680740
1216908b90
13b7aa703
14761b220
154db35e6
hex356889c

56002716 has 144 divisors (see below), whose sum is σ = 179262720. Its totient is φ = 14319360.

The previous prime is 56002711. The next prime is 56002717. The reversal of 56002716 is 61720065.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 56002716.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56002711) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246595 + ... + 246821.

It is an arithmetic number, because the mean of its divisors is an integer number (1244880).

Almost surely, 256002716 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 56002716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89631360).

56002716 is an abundant number, since it is smaller than the sum of its proper divisors (123260004).

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

56002716 is a wasteful number, since it uses less digits than its factorization.

56002716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 339 counting only the distinct ones).

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

The square root of 56002716 is about 7483.4962417309. The cubic root of 56002716 is about 382.5924215986.

Adding to 56002716 its product of nonzero digits (2520), we get a triangular number (56005236 = T10583).

The spelling of 56002716 in words is "fifty-six million, two thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 89 99 126 132 154 178 198 227 231 252 267 308 356 396 454 462 534 623 681 693 801 908 924 979 1068 1246 1362 1386 1589 1602 1869 1958 2043 2492 2497 2724 2772 2937 3178 3204 3738 3916 4086 4767 4994 5607 5874 6356 6853 7476 7491 8172 8811 9534 9988 11214 11748 13706 14301 14982 17479 17622 19068 20203 20559 22428 22473 27412 28602 29964 34958 35244 40406 41118 44946 52437 57204 60609 61677 69916 80812 82236 89892 104874 121218 123354 141421 157311 181827 209748 222233 242436 246708 282842 314622 363654 424263 444466 565684 629244 666699 727308 848526 888932 1272789 1333398 1555631 1697052 2000097 2545578 2666796 3111262 4000194 4666893 5091156 6222524 8000388 9333786 14000679 18667572 28001358 56002716