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56905038 = 23319371499
BaseRepresentation
bin1101100100010…
…0110101001110
310222002002001000
43121010311032
5104031430123
65351401130
71260453621
oct331046516
9128062030
1056905038
112a137663
12170831a6
13ba35328
1477b3db8
154ee0b43
hex3644d4e

56905038 has 64 divisors (see below), whose sum is σ = 136800000. Its totient is φ = 17472672.

The previous prime is 56904997. The next prime is 56905073. The reversal of 56905038 is 83050965.

56905038 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 56904993 and 56905011.

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 31 ways as a sum of consecutive naturals, for example, 37213 + ... + 38711.

It is an arithmetic number, because the mean of its divisors is an integer number (2137500).

Almost surely, 256905038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56905038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68400000).

56905038 is an abundant number, since it is smaller than the sum of its proper divisors (79894962).

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

56905038 is a wasteful number, since it uses less digits than its factorization.

56905038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 56905038 is about 7543.5428016284. The cubic root of 56905038 is about 384.6362742357.

The spelling of 56905038 in words is "fifty-six million, nine hundred five thousand, thirty-eight".

Divisors: 1 2 3 6 9 18 19 27 37 38 54 57 74 111 114 171 222 333 342 513 666 703 999 1026 1406 1499 1998 2109 2998 4218 4497 6327 8994 12654 13491 18981 26982 28481 37962 40473 55463 56962 80946 85443 110926 166389 170886 256329 332778 499167 512658 768987 998334 1053797 1497501 1537974 2107594 2995002 3161391 6322782 9484173 18968346 28452519 56905038