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56758086 = 232711311321
BaseRepresentation
bin1101100010000…
…0111101000110
310221210121110100
43120200331012
5104012224321
65344304530
71256302320
oct330407506
9127717410
1056758086
112a047210
1217012146
13b9b3488
147776610
154eb2326
hex3620f46

56758086 has 96 divisors (see below), whose sum is σ = 158386176. Its totient is φ = 14256000.

The previous prime is 56758021. The next prime is 56758099. The reversal of 56758086 is 68085765.

56758086 is a `hidden beast` number, since 5 + 67 + 580 + 8 + 6 = 666.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42306 + ... + 43626.

It is an arithmetic number, because the mean of its divisors is an integer number (1649856).

Almost surely, 256758086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56758086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79193088).

56758086 is an abundant number, since it is smaller than the sum of its proper divisors (101628090).

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

56758086 is a wasteful number, since it uses less digits than its factorization.

56758086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 56758086 is about 7533.7962542134. The cubic root of 56758086 is about 384.3048929445.

It can be divided in two parts, 567 and 58086, that added together give a triangular number (58653 = T342).

The spelling of 56758086 in words is "fifty-six million, seven hundred fifty-eight thousand, eighty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 31 33 42 62 63 66 77 93 99 126 154 186 198 217 231 279 341 434 462 558 651 682 693 1023 1302 1321 1386 1953 2046 2387 2642 3069 3906 3963 4774 6138 7161 7926 9247 11889 14322 14531 18494 21483 23778 27741 29062 40951 42966 43593 55482 81902 83223 87186 101717 122853 130779 166446 203434 245706 261558 286657 305151 368559 450461 573314 610302 737118 859971 900922 915453 1351383 1719942 1830906 2579913 2702766 3153227 4054149 5159826 6306454 8108298 9459681 18919362 28379043 56758086