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56904409 = 2937181293
BaseRepresentation
bin1101100100010…
…0101011011001
310222002001011201
43121010223121
5104031420114
65351354201
71260452032
oct331045331
9128061151
1056904409
112a137141
1217082961
13ba34c63
1477b3a89
154ee0874
hex3644ad9

56904409 has 16 divisors (see below), whose sum is σ = 60999120. Its totient is φ = 52980480.

The previous prime is 56904403. The next prime is 56904413. The reversal of 56904409 is 90440965.

56904409 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 8 ways, for example, as 1729225 + 55175184 = 1315^2 + 7428^2 .

It is a cyclic number.

It is not a de Polignac number, because 56904409 - 211 = 56902361 is a prime.

It is a super-2 number, since 2×569044092 = 6476223527278562, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (56904403) 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 15 ways as a sum of consecutive naturals, for example, 194067 + ... + 194359.

It is an arithmetic number, because the mean of its divisors is an integer number (3812445).

Almost surely, 256904409 is an apocalyptic number.

It is an amenable number.

56904409 is a deficient number, since it is larger than the sum of its proper divisors (4094711).

56904409 is a wasteful number, since it uses less digits than its factorization.

56904409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540.

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 56904409 is about 7543.5011102273. The cubic root of 56904409 is about 384.6348570377.

The spelling of 56904409 in words is "fifty-six million, nine hundred four thousand, four hundred nine".

Divisors: 1 29 37 181 293 1073 5249 6697 8497 10841 53033 194213 314389 1537957 1962221 56904409