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56662496 = 2511172557
BaseRepresentation
bin1101100000100…
…1100111100000
310221121202022222
43120021213200
5104001144441
65342250212
71255423532
oct330114740
9127552288
1056662496
1129a91410
1216b86968
13b97bb07
14774d852
154e93d4b
hex36099e0

56662496 has 72 divisors (see below), whose sum is σ = 129507336. Its totient is φ = 24197120.

The previous prime is 56662493. The next prime is 56662499. The reversal of 56662496 is 69426665.

It is an interprime number because it is at equal distance from previous prime (56662493) and next prime (56662499).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56662493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101450 + ... + 102006.

It is an arithmetic number, because the mean of its divisors is an integer number (1798713).

Almost surely, 256662496 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 56662496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64753668).

56662496 is an abundant number, since it is smaller than the sum of its proper divisors (72844840).

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

56662496 is a wasteful number, since it uses less digits than its factorization.

56662496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 587 counting only the distinct ones).

The product of its digits is 466560, while the sum is 44.

The square root of 56662496 is about 7527.4495016573. The cubic root of 56662496 is about 384.0890273905.

The spelling of 56662496 in words is "fifty-six million, six hundred sixty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 289 352 374 544 557 578 748 1114 1156 1496 2228 2312 2992 3179 4456 4624 5984 6127 6358 8912 9248 9469 12254 12716 17824 18938 24508 25432 37876 49016 50864 75752 98032 101728 104159 151504 160973 196064 208318 303008 321946 416636 643892 833272 1287784 1666544 1770703 2575568 3333088 3541406 5151136 7082812 14165624 28331248 56662496