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56959420 = 22571392927
BaseRepresentation
bin1101100101001…
…0000110111100
310222011211122011
43121102012330
5104040200140
65352501004
71261101310
oct331220674
9128154564
1056959420
112a174501
12170aa764
13ba53ccb
1477c9b40
155001cea
hex36521bc

56959420 has 48 divisors (see below), whose sum is σ = 137733120. Its totient is φ = 19381824.

The previous prime is 56959387. The next prime is 56959423. The reversal of 56959420 is 2495965.

56959420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56959423) 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, 17997 + ... + 20923.

It is an arithmetic number, because the mean of its divisors is an integer number (2869440).

Almost surely, 256959420 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 56959420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68866560).

56959420 is an abundant number, since it is smaller than the sum of its proper divisors (80773700).

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

56959420 is a wasteful number, since it uses less digits than its factorization.

56959420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3082 (or 3080 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 40.

The square root of 56959420 is about 7547.1464806243. The cubic root of 56959420 is about 384.7587626880.

The spelling of 56959420 in words is "fifty-six million, nine hundred fifty-nine thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 139 140 278 556 695 973 1390 1946 2780 2927 3892 4865 5854 9730 11708 14635 19460 20489 29270 40978 58540 81956 102445 204890 406853 409780 813706 1627412 2034265 2847971 4068530 5695942 8137060 11391884 14239855 28479710 56959420