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56263064 = 231121317263
BaseRepresentation
bin1101011010100…
…0000110011000
310220212110102012
43112220012120
5103400404224
65325525052
71252141154
oct326500630
9126773365
1056263064
1129839300
1216a13788
13b86c070
147688064
154e1580e
hex35a8198

56263064 has 96 divisors (see below), whose sum is σ = 132723360. Its totient is φ = 22133760.

The previous prime is 56263063. The next prime is 56263069. The reversal of 56263064 is 46036265.

It is a self number, because there is not a number n which added to its sum of digits gives 56263064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56263063) 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 23 ways as a sum of consecutive naturals, for example, 213797 + ... + 214059.

It is an arithmetic number, because the mean of its divisors is an integer number (1382535).

Almost surely, 256263064 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 56263064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66361680).

56263064 is an abundant number, since it is smaller than the sum of its proper divisors (76460296).

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

56263064 is a wasteful number, since it uses less digits than its factorization.

56263064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 56263064 is about 7500.8708827709. The cubic root of 56263064 is about 383.1843763198.

The spelling of 56263064 in words is "fifty-six million, two hundred sixty-three thousand, sixty-four".

Divisors: 1 2 4 8 11 13 17 22 26 34 44 52 68 88 104 121 136 143 187 221 242 263 286 374 442 484 526 572 748 884 968 1052 1144 1496 1573 1768 2057 2104 2431 2893 3146 3419 4114 4471 4862 5786 6292 6838 8228 8942 9724 11572 12584 13676 16456 17884 19448 23144 26741 27352 31823 35768 37609 49181 53482 58123 63646 75218 98362 106964 116246 127292 150436 196724 213928 232492 254584 300872 393448 413699 464984 540991 639353 827398 1081982 1278706 1654796 2163964 2557412 3309592 4327928 5114824 7032883 14065766 28131532 56263064