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56368242 = 232737107113
BaseRepresentation
bin1101011100000…
…1110001110010
310221001210200200
43113001301302
5103412240432
65332100030
71253056620
oct327016162
9127053620
1056368242
1129900327
1216a64616
13b8a7bb8
1476b4510
154e36a7c
hex35c1c72

56368242 has 96 divisors (see below), whose sum is σ = 145971072. Its totient is φ = 15386112.

The previous prime is 56368237. The next prime is 56368259. The reversal of 56368242 is 24286365.

56368242 is a `hidden beast` number, since 56 + 368 + 242 = 666.

56368242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 56368197 and 56368206.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 498778 + ... + 498890.

It is an arithmetic number, because the mean of its divisors is an integer number (1520532).

Almost surely, 256368242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56368242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72985536).

56368242 is an abundant number, since it is smaller than the sum of its proper divisors (89602830).

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

56368242 is a wasteful number, since it uses less digits than its factorization.

56368242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 269 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 56368242 is about 7507.8786617792. The cubic root of 56368242 is about 383.4230022535.

The spelling of 56368242 in words is "fifty-six million, three hundred sixty-eight thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 63 74 107 111 113 126 214 222 226 259 321 333 339 518 642 666 678 749 777 791 963 1017 1498 1554 1582 1926 2034 2247 2331 2373 3959 4181 4494 4662 4746 6741 7119 7918 8362 11877 12091 12543 13482 14238 23754 24182 25086 27713 29267 35631 36273 37629 55426 58534 71262 72546 75258 83139 84637 87801 108819 166278 169274 175602 217638 249417 253911 263403 447367 498834 507822 526806 761733 894734 1342101 1523466 2684202 3131569 4026303 6263138 8052606 9394707 18789414 28184121 56368242