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56325984 = 25311213373
BaseRepresentation
bin1101011011011…
…1011101100000
310220222122201120
43112313131200
5103404412414
65331132240
71252522461
oct326673540
9126878646
1056325984
1129881600
1216a44080
13b8918b0
1476a2d68
154e292a9
hex35b7760

56325984 has 144 divisors (see below), whose sum is σ = 175489776. Its totient is φ = 15713280.

The previous prime is 56325979. The next prime is 56325989. The reversal of 56325984 is 48952365.

It is an interprime number because it is at equal distance from previous prime (56325979) and next prime (56325989).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56325989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150822 + ... + 151194.

It is an arithmetic number, because the mean of its divisors is an integer number (1218679).

Almost surely, 256325984 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 56325984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87744888).

56325984 is an abundant number, since it is smaller than the sum of its proper divisors (119163792).

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

56325984 is a wasteful number, since it uses less digits than its factorization.

56325984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 402 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The square root of 56325984 is about 7505.0638904676. The cubic root of 56325984 is about 383.3271637738.

The spelling of 56325984 in words is "fifty-six million, three hundred twenty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 121 132 143 156 176 208 242 264 286 312 352 363 373 416 429 484 528 572 624 726 746 858 968 1056 1119 1144 1248 1452 1492 1573 1716 1936 2238 2288 2904 2984 3146 3432 3872 4103 4476 4576 4719 4849 5808 5968 6292 6864 8206 8952 9438 9698 11616 11936 12309 12584 13728 14547 16412 17904 18876 19396 24618 25168 29094 32824 35808 37752 38792 45133 49236 50336 53339 58188 65648 75504 77584 90266 98472 106678 116376 131296 135399 151008 155168 160017 180532 196944 213356 232752 270798 320034 361064 393888 426712 465504 541596 586729 640068 722128 853424 1083192 1173458 1280136 1444256 1706848 1760187 2166384 2346916 2560272 3520374 4332768 4693832 5120544 7040748 9387664 14081496 18775328 28162992 56325984