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56243376 = 2433722657
BaseRepresentation
bin1101011010001…
…1010010110000
310220211110102000
43112203102300
5103344242001
65325254000
71252026600
oct326432260
9126743360
1056243376
1129825532
1216a04300
13b863107
147680c00
154e0ea86
hex35a34b0

56243376 has 120 divisors (see below), whose sum is σ = 187867440. Its totient is φ = 16063488.

The previous prime is 56243359. The next prime is 56243389. The reversal of 56243376 is 67334265.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 56243376.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19840 + ... + 22496.

It is an arithmetic number, because the mean of its divisors is an integer number (1565562).

Almost surely, 256243376 is an apocalyptic number.

56243376 is a gapful number since it is divisible by the number (56) 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 56243376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93933720).

56243376 is an abundant number, since it is smaller than the sum of its proper divisors (131624064).

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

56243376 is a wasteful number, since it uses less digits than its factorization.

56243376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2688 (or 2669 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 56243376 is about 7499.5583869985. The cubic root of 56243376 is about 383.1396755066.

The spelling of 56243376 in words is "fifty-six million, two hundred forty-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 378 392 432 441 504 588 756 784 882 1008 1176 1323 1512 1764 2352 2646 2657 3024 3528 5292 5314 7056 7971 10584 10628 15942 18599 21168 21256 23913 31884 37198 42512 47826 55797 63768 71739 74396 95652 111594 127536 130193 143478 148792 167391 191304 223188 260386 286956 297584 334782 382608 390579 446376 502173 520772 573912 669564 781158 892752 1004346 1041544 1147824 1171737 1339128 1562316 2008692 2083088 2343474 2678256 3124632 3515211 4017384 4686948 6249264 7030422 8034768 9373896 14060844 18747792 28121688 56243376