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56769216 = 263742239
BaseRepresentation
bin1101100010001…
…1101011000000
310221211011201120
43120203223000
5104013103331
65344432240
71256346630
oct330435300
9127734646
1056769216
112a054609
1217018680
13b9b856a
14777a6c0
154eb5796
hex3623ac0

56769216 has 56 divisors (see below), whose sum is σ = 171663360. Its totient is φ = 16219392.

The previous prime is 56769197. The next prime is 56769217. The reversal of 56769216 is 61296765.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is not an unprimeable number, because it can be changed into a prime (56769217) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 19776 + ... + 22463.

Almost surely, 256769216 is an apocalyptic number.

56769216 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

56769216 is an abundant number, since it is smaller than the sum of its proper divisors (114894144).

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

56769216 is a wasteful number, since it uses less digits than its factorization.

56769216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42261 (or 42251 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The square root of 56769216 is about 7534.5348894275. The cubic root of 56769216 is about 384.3300114442.

The spelling of 56769216 in words is "fifty-six million, seven hundred sixty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 42239 84478 126717 168956 253434 295673 337912 506868 591346 675824 887019 1013736 1182692 1351648 1774038 2027472 2365384 2703296 3548076 4054944 4730768 7096152 8109888 9461536 14192304 18923072 28384608 56769216