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56410992 = 2435111319
BaseRepresentation
bin1101011100110…
…0001101110000
310221010222100000
43113030031300
5103420122432
65333030000
71253325351
oct327141560
9127128300
1056410992
112992a460
1216a85300
13b8c14b1
1476c5d28
154e4457c
hex35cc370

56410992 has 120 divisors (see below), whose sum is σ = 178738560. Its totient is φ = 17081280.

The previous prime is 56410961. The next prime is 56410993. The reversal of 56410992 is 29901465.

56410992 is a `hidden beast` number, since 5 + 641 + 0 + 9 + 9 + 2 = 666.

56410992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56410993) 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 23 ways as a sum of consecutive naturals, for example, 42109 + ... + 43427.

It is an arithmetic number, because the mean of its divisors is an integer number (1489488).

Almost surely, 256410992 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 56410992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89369280).

56410992 is an abundant number, since it is smaller than the sum of its proper divisors (122327568).

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

56410992 is a wasteful number, since it uses less digits than its factorization.

56410992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 56410992 is about 7510.7251314370. The cubic root of 56410992 is about 383.5199078322.

The spelling of 56410992 in words is "fifty-six million, four hundred ten thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 243 264 297 324 396 432 486 528 594 648 792 891 972 1188 1296 1319 1584 1782 1944 2376 2638 2673 3564 3888 3957 4752 5276 5346 7128 7914 10552 10692 11871 14256 14509 15828 21104 21384 23742 29018 31656 35613 42768 43527 47484 58036 63312 71226 87054 94968 106839 116072 130581 142452 174108 189936 213678 232144 261162 284904 320517 348216 391743 427356 522324 569808 641034 696432 783486 854712 1044648 1175229 1282068 1566972 1709424 2089296 2350458 2564136 3133944 3525687 4700916 5128272 6267888 7051374 9401832 14102748 18803664 28205496 56410992