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56954268 = 22327283389
BaseRepresentation
bin1101100101000…
…0110110011100
310222011120120100
43121100312130
5104040014033
65352421100
71261050300
oct331206634
9128146510
1056954268
112a170648
12170a7790
13ba51867
1477c7d00
155000513
hex3650d9c

56954268 has 108 divisors (see below), whose sum is σ = 169926120. Its totient is φ = 16035264.

The previous prime is 56954243. The next prime is 56954291. The reversal of 56954268 is 86245965.

56954268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 146218 + ... + 146606.

It is an arithmetic number, because the mean of its divisors is an integer number (1573390).

Almost surely, 256954268 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 56954268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84963060).

56954268 is an abundant number, since it is smaller than the sum of its proper divisors (112971852).

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

56954268 is a wasteful number, since it uses less digits than its factorization.

56954268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 484 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 56954268 is about 7546.8051518507. The cubic root of 56954268 is about 384.7471618155.

The spelling of 56954268 in words is "fifty-six million, nine hundred fifty-four thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 83 84 98 126 147 166 196 249 252 294 332 389 441 498 581 588 747 778 882 996 1162 1167 1494 1556 1743 1764 2324 2334 2723 2988 3486 3501 4067 4668 5229 5446 6972 7002 8134 8169 10458 10892 12201 14004 16268 16338 19061 20916 24402 24507 32287 32676 36603 38122 48804 49014 57183 64574 73206 76244 96861 98028 114366 129148 146412 171549 193722 226009 228732 290583 343098 387444 452018 581166 678027 686196 904036 1162332 1356054 1582063 2034081 2712108 3164126 4068162 4746189 6328252 8136324 9492378 14238567 18984756 28477134 56954268