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56799972 = 223223181379
BaseRepresentation
bin1101100010101…
…1001011100100
310221212201220200
43120223023210
5104020044342
65345230500
71256535405
oct330531344
9127781820
1056799972
112a075729
1217032430
13b9c9568
1477879ac
154ebe94c
hex362b2e4

56799972 has 72 divisors (see below), whose sum is σ = 151045440. Its totient is φ = 17962560.

The previous prime is 56799961. The next prime is 56799983. The reversal of 56799972 is 27999765.

56799972 is a `hidden beast` number, since 567 + 9 + 9 + 9 + 72 = 666.

56799972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56799961) and next prime (56799983).

Its product of digits (2143260) is a multiple of the sum of its prime divisors (588).

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, 149679 + ... + 150057.

Almost surely, 256799972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56799972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75522720).

56799972 is an abundant number, since it is smaller than the sum of its proper divisors (94245468).

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

56799972 is a wasteful number, since it uses less digits than its factorization.

56799972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 588 counting only the distinct ones).

The product of its digits is 2143260, while the sum is 54.

The square root of 56799972 is about 7536.5756149594. The cubic root of 56799972 is about 384.3994053907.

It can be divided in two parts, 5679 and 9972, that added together give a palindrome (15651).

The spelling of 56799972 in words is "fifty-six million, seven hundred ninety-nine thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 181 207 276 362 379 414 543 724 758 828 1086 1137 1516 1629 2172 2274 3258 3411 4163 4548 6516 6822 8326 8717 12489 13644 16652 17434 24978 26151 34868 37467 49956 52302 68599 74934 78453 104604 137198 149868 156906 205797 274396 313812 411594 617391 823188 1234782 1577777 2469564 3155554 4733331 6311108 9466662 14199993 18933324 28399986 56799972