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56027088 = 2432131732
BaseRepresentation
bin1101010110111…
…0011111010000
310220102110201100
43111232133100
5103320331323
65320504400
71250136165
oct325563720
9126373640
1056027088
1129697a87
121691b100
13b7b8830
14762606c
154dba943
hex356e7d0

56027088 has 90 divisors (see below), whose sum is σ = 169841126. Its totient is φ = 17139456.

The previous prime is 56027071. The next prime is 56027089. The reversal of 56027088 is 88072065.

It can be written as a sum of positive squares in 3 ways, for example, as 22014864 + 34012224 = 4692^2 + 5832^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56027089) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 323770 + ... + 323942.

Almost surely, 256027088 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 56027088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84920563).

56027088 is an abundant number, since it is smaller than the sum of its proper divisors (113814038).

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

56027088 is a wasteful number, since it uses less digits than its factorization.

56027088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 56027088 is about 7485.1244478632. The cubic root of 56027088 is about 382.6479140868.

The spelling of 56027088 in words is "fifty-six million, twenty-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 173 208 234 312 346 468 519 624 692 936 1038 1384 1557 1872 2076 2249 2768 3114 4152 4498 6228 6747 8304 8996 12456 13494 17992 20241 24912 26988 29929 35984 40482 53976 59858 80964 89787 107952 119716 161928 179574 239432 269361 323856 359148 389077 478864 538722 718296 778154 1077444 1167231 1436592 1556308 2154888 2334462 3112616 3501693 4309776 4668924 6225232 7003386 9337848 14006772 18675696 28013544 56027088