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56009736 = 23324379229
BaseRepresentation
bin1101010110101…
…0010000001000
310220101120220200
43111222100020
5103314302421
65320252200
71250034456
oct325522010
9126346820
1056009736
1129685a42
1216911060
13b7b0973
14761d9d6
154db5726
hex356a408

56009736 has 96 divisors (see below), whose sum is σ = 157872000. Its totient is φ = 17926272.

The previous prime is 56009729. The next prime is 56009741. The reversal of 56009736 is 63790065.

It is a happy number.

56009736 is a `hidden beast` number, since 560 + 0 + 97 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 56009736.

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, 244470 + ... + 244698.

It is an arithmetic number, because the mean of its divisors is an integer number (1644500).

Almost surely, 256009736 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 56009736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78936000).

56009736 is an abundant number, since it is smaller than the sum of its proper divisors (101862264).

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

56009736 is a wasteful number, since it uses less digits than its factorization.

56009736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 56009736 is about 7483.9652591390. The cubic root of 56009736 is about 382.6084070530.

The spelling of 56009736 in words is "fifty-six million, nine thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 79 86 129 158 172 229 237 258 316 344 387 458 474 516 632 687 711 774 916 948 1032 1374 1422 1548 1832 1896 2061 2748 2844 3096 3397 4122 5496 5688 6794 8244 9847 10191 13588 16488 18091 19694 20382 27176 29541 30573 36182 39388 40764 54273 59082 61146 72364 78776 81528 88623 108546 118164 122292 144728 162819 177246 217092 236328 244584 325638 354492 434184 651276 708984 777913 1302552 1555826 2333739 3111652 4667478 6223304 7001217 9334956 14002434 18669912 28004868 56009736