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56907576 = 23331143557
BaseRepresentation
bin1101100100010…
…1011100111000
310222002012112000
43121011130320
5104032020301
65351421000
71260464205
oct331053470
9128065460
1056907576
112a139560
1217084760
13ba3652b
1477b4cac
154ee1786
hex3645738

56907576 has 128 divisors (see below), whose sum is σ = 176774400. Its totient is φ = 16813440.

The previous prime is 56907569. The next prime is 56907577. The reversal of 56907576 is 67570965.

It is a happy number.

56907576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-5 number, since 5×569075765 (a number of 40 digits) contains 55555 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56907577) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 101890 + ... + 102446.

It is an arithmetic number, because the mean of its divisors is an integer number (1381050).

Almost surely, 256907576 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 56907576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88387200).

56907576 is an abundant number, since it is smaller than the sum of its proper divisors (119866824).

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

56907576 is a wasteful number, since it uses less digits than its factorization.

56907576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The square root of 56907576 is about 7543.7110230973. The cubic root of 56907576 is about 384.6419924895.

The spelling of 56907576 in words is "fifty-six million, nine hundred seven thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 43 44 54 66 72 86 88 99 108 129 132 172 198 216 258 264 297 344 387 396 473 516 557 594 774 792 946 1032 1114 1161 1188 1419 1548 1671 1892 2228 2322 2376 2838 3096 3342 3784 4257 4456 4644 5013 5676 6127 6684 8514 9288 10026 11352 12254 12771 13368 15039 17028 18381 20052 23951 24508 25542 30078 34056 36762 40104 47902 49016 51084 55143 60156 71853 73524 95804 102168 110286 120312 143706 147048 165429 191608 215559 220572 263461 287412 330858 431118 441144 526922 574824 646677 661716 790383 862236 1053844 1293354 1323432 1580766 1724472 2107688 2371149 2586708 3161532 4742298 5173416 6323064 7113447 9484596 14226894 18969192 28453788 56907576