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56128601 = 296131729
BaseRepresentation
bin1101011000011…
…1010001011001
310220121121222002
43112013101121
5103332103401
65323010345
71251041144
oct326072131
9126547862
1056128601
1129757281
12169699b5
13b822ab9
14765105b
154ddaa6b
hex3587459

56128601 has 8 divisors (see below), whose sum is σ = 59017800. Its totient is φ = 53303040.

The previous prime is 56128571. The next prime is 56128607. The reversal of 56128601 is 10682165.

It is a happy number.

56128601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7840000 + 48288601 = 2800^2 + 6949^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 56128601 - 222 = 51934297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (56128607) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 14096 + ... + 17633.

It is an arithmetic number, because the mean of its divisors is an integer number (7377225).

Almost surely, 256128601 is an apocalyptic number.

It is an amenable number.

56128601 is a deficient number, since it is larger than the sum of its proper divisors (2889199).

56128601 is a wasteful number, since it uses less digits than its factorization.

56128601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31819.

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 56128601 is about 7491.9023618838. The cubic root of 56128601 is about 382.8788755909.

The spelling of 56128601 in words is "fifty-six million, one hundred twenty-eight thousand, six hundred one".

Divisors: 1 29 61 1769 31729 920141 1935469 56128601