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55697824 = 2571331617
BaseRepresentation
bin1101010001111…
…0000110100000
310212210202001101
43110132012200
5103224312244
65305444144
71244265220
oct324360640
9125722041
1055697824
1129492666
12167a0654
13b7019c0
14757c080
154d530d4
hex351e1a0

55697824 has 96 divisors (see below), whose sum is σ = 139539456. Its totient is φ = 21288960.

The previous prime is 55697821. The next prime is 55697903. The reversal of 55697824 is 42879655.

It is not an unprimeable number, because it can be changed into a prime (55697821) 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 15 ways as a sum of consecutive naturals, for example, 89964 + ... + 90580.

It is an arithmetic number, because the mean of its divisors is an integer number (1453536).

Almost surely, 255697824 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 55697824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69769728).

55697824 is an abundant number, since it is smaller than the sum of its proper divisors (83841632).

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

55697824 is a wasteful number, since it uses less digits than its factorization.

55697824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 670 counting only the distinct ones).

The product of its digits is 604800, while the sum is 46.

The square root of 55697824 is about 7463.0974802692. The cubic root of 55697824 is about 381.8968499761.

The spelling of 55697824 in words is "fifty-five million, six hundred ninety-seven thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 32 52 56 62 91 104 112 124 182 208 217 224 248 364 403 416 434 496 617 728 806 868 992 1234 1456 1612 1736 2468 2821 2912 3224 3472 4319 4936 5642 6448 6944 8021 8638 9872 11284 12896 16042 17276 19127 19744 22568 32084 34552 38254 45136 56147 64168 69104 76508 90272 112294 128336 133889 138208 153016 224588 248651 256672 267778 306032 449176 497302 535556 612064 898352 994604 1071112 1740557 1796704 1989208 2142224 3481114 3978416 4284448 6962228 7956832 13924456 27848912 55697824