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56178304 = 277213253
BaseRepresentation
bin1101011001001…
…1011010000000
310220201011010221
43112103122000
5103340201204
65324032424
71251336100
oct326233200
9126634127
1056178304
1129790656
1216992714
13b83c600
147665200
154dea654
hex3593680

56178304 has 144 divisors (see below), whose sum is σ = 143634870. Its totient is φ = 21805056.

The previous prime is 56178281. The next prime is 56178329. The reversal of 56178304 is 40387165.

It can be written as a sum of positive squares in 3 ways, for example, as 34574400 + 21603904 = 5880^2 + 4648^2 .

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 56178304.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 1059942 + ... + 1059994.

Almost surely, 256178304 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 56178304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71817435).

56178304 is an abundant number, since it is smaller than the sum of its proper divisors (87456566).

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

56178304 is a wasteful number, since it uses less digits than its factorization.

56178304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 56178304 is about 7495.2187426385. The cubic root of 56178304 is about 382.9918578849.

The spelling of 56178304 in words is "fifty-six million, one hundred seventy-eight thousand, three hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 53 56 64 91 98 104 106 112 128 169 182 196 208 212 224 338 364 371 392 416 424 448 637 676 689 728 742 784 832 848 896 1183 1274 1352 1378 1456 1484 1568 1664 1696 2366 2548 2597 2704 2756 2912 2968 3136 3392 4732 4823 5096 5194 5408 5512 5824 5936 6272 6784 8281 8957 9464 9646 10192 10388 10816 11024 11648 11872 16562 17914 18928 19292 20384 20776 21632 22048 23744 33124 33761 35828 37856 38584 40768 41552 44096 47488 62699 66248 67522 71656 75712 77168 81536 83104 88192 125398 132496 135044 143312 151424 154336 166208 250796 264992 270088 286624 308672 332416 438893 501592 529984 540176 573248 617344 877786 1003184 1059968 1080352 1146496 1755572 2006368 2160704 3511144 4012736 4321408 7022288 8025472 14044576 28089152 56178304