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56213976 = 23372133677
BaseRepresentation
bin1101011001110…
…0000111011000
310220202222002010
43112130013120
5103342321401
65324505520
71251545100
oct326340730
9126688063
1056213976
1129805435
12169ab2a0
13b852910
147674200
154e05ed6
hex359c1d8

56213976 has 96 divisors (see below), whose sum is σ = 176102640. Its totient is φ = 14821632.

The previous prime is 56213957. The next prime is 56213981. The reversal of 56213976 is 67931265.

56213976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×562139762 = 6320022195457152, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 23 ways as a sum of consecutive naturals, for example, 13450 + ... + 17126.

Almost surely, 256213976 is an apocalyptic number.

56213976 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 56213976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88051320).

56213976 is an abundant number, since it is smaller than the sum of its proper divisors (119888664).

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

56213976 is a wasteful number, since it uses less digits than its factorization.

56213976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3713 (or 3702 counting only the distinct ones).

The product of its digits is 68040, while the sum is 39.

The square root of 56213976 is about 7497.5980153647. The cubic root of 56213976 is about 383.0729045636.

The spelling of 56213976 in words is "fifty-six million, two hundred thirteen thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 78 84 91 98 104 147 156 168 182 196 273 294 312 364 392 546 588 637 728 1092 1176 1274 1911 2184 2548 3677 3822 5096 7354 7644 11031 14708 15288 22062 25739 29416 44124 47801 51478 77217 88248 95602 102956 143403 154434 180173 191204 205912 286806 308868 334607 360346 382408 540519 573612 617736 669214 720692 1003821 1081038 1147224 1338428 1441384 2007642 2162076 2342249 2676856 4015284 4324152 4684498 7026747 8030568 9368996 14053494 18737992 28106988 56213976