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56296944 = 2434112359
BaseRepresentation
bin1101011011000…
…0010111110000
310220221011220000
43112300113300
5103403000234
65330350000
71252342014
oct326602760
9126834800
1056296944
1129861800
1216a2b300
13b881602
147696544
154e20899
hex35b05f0

56296944 has 150 divisors (see below), whose sum is σ = 179597880. Its totient is φ = 17012160.

The previous prime is 56296913. The next prime is 56296963. The reversal of 56296944 is 44969265.

56296944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 56296944.

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 29 ways as a sum of consecutive naturals, for example, 156637 + ... + 156995.

Almost surely, 256296944 is an apocalyptic number.

56296944 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56296944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89798940).

56296944 is an abundant number, since it is smaller than the sum of its proper divisors (123300936).

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

56296944 is a wasteful number, since it uses less digits than its factorization.

56296944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 375 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 56296944 is about 7503.1289473126. The cubic root of 56296944 is about 383.2612750923.

The spelling of 56296944 in words is "fifty-six million, two hundred ninety-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 121 132 144 162 176 198 216 242 264 297 324 359 363 396 432 484 528 594 648 718 726 792 891 968 1077 1089 1188 1296 1436 1452 1584 1782 1936 2154 2178 2376 2872 2904 3231 3267 3564 3949 4308 4356 4752 5744 5808 6462 6534 7128 7898 8616 8712 9693 9801 11847 12924 13068 14256 15796 17232 17424 19386 19602 23694 25848 26136 29079 31592 35541 38772 39204 43439 47388 51696 52272 58158 63184 71082 77544 78408 86878 94776 106623 116316 130317 142164 155088 156816 173756 189552 213246 232632 260634 284328 319869 347512 390951 426492 465264 521268 568656 639738 695024 781902 852984 1042536 1172853 1279476 1563804 1705968 2085072 2345706 2558952 3127608 3518559 4691412 5117904 6255216 7037118 9382824 14074236 18765648 28148472 56296944