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56490456 = 233111741307
BaseRepresentation
bin1101011101111…
…1100111011000
310221022000100010
43113133213120
5103430143311
65334441520
71254106131
oct327374730
9127260303
1056490456
1129984130
1216b032a0
13b91b709
147706c88
154e5cda6
hex35df9d8

56490456 has 128 divisors (see below), whose sum is σ = 167650560. Its totient is φ = 15667200.

The previous prime is 56490437. The next prime is 56490457. The reversal of 56490456 is 65409465.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56490457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183855 + ... + 184161.

It is an arithmetic number, because the mean of its divisors is an integer number (1309770).

Almost surely, 256490456 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 56490456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83825280).

56490456 is an abundant number, since it is smaller than the sum of its proper divisors (111160104).

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

56490456 is a wasteful number, since it uses less digits than its factorization.

56490456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 56490456 is about 7516.0133049377. The cubic root of 56490456 is about 383.6999065992.

The spelling of 56490456 in words is "fifty-six million, four hundred ninety thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 41 44 51 66 68 82 88 102 123 132 136 164 187 204 246 264 307 328 374 408 451 492 561 614 697 748 902 921 984 1122 1228 1353 1394 1496 1804 1842 2091 2244 2456 2706 2788 3377 3608 3684 4182 4488 5219 5412 5576 6754 7368 7667 8364 10131 10438 10824 12587 13508 15334 15657 16728 20262 20876 23001 25174 27016 30668 31314 37761 40524 41752 46002 50348 57409 61336 62628 75522 81048 92004 100696 114818 125256 138457 151044 172227 184008 213979 229636 276914 302088 344454 415371 427958 459272 553828 641937 688908 830742 855916 1107656 1283874 1377816 1661484 1711832 2353769 2567748 3322968 4707538 5135496 7061307 9415076 14122614 18830152 28245228 56490456