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56107296 = 253379277
BaseRepresentation
bin1101011000001…
…0000100100000
310220120112202000
43112002010200
5103330413141
65322324000
71250622060
oct326020440
9126515660
1056107296
1129742273
1216959600
13b8161ab
1476473a0
154dd45b6
hex3582120

56107296 has 96 divisors (see below), whose sum is σ = 187044480. Its totient is φ = 16028928.

The previous prime is 56107283. The next prime is 56107307. The reversal of 56107296 is 69270165.

56107296 is a `hidden beast` number, since 561 + 0 + 7 + 2 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 56107296.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1410 + ... + 10686.

It is an arithmetic number, because the mean of its divisors is an integer number (1948380).

Almost surely, 256107296 is an apocalyptic number.

56107296 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 56107296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93522240).

56107296 is an abundant number, since it is smaller than the sum of its proper divisors (130937184).

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

56107296 is a wasteful number, since it uses less digits than its factorization.

56107296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9303 (or 9289 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 56107296 is about 7490.4803584283. The cubic root of 56107296 is about 382.8304257417.

The spelling of 56107296 in words is "fifty-six million, one hundred seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 9277 18554 27831 37108 55662 64939 74216 83493 111324 129878 148432 166986 194817 222648 250479 259756 296864 333972 389634 445296 500958 519512 584451 667944 779268 890592 1001916 1039024 1168902 1335888 1558536 1753353 2003832 2078048 2337804 2671776 3117072 3506706 4007664 4675608 6234144 7013412 8015328 9351216 14026824 18702432 28053648 56107296