Search a number
-
+
56582155520 = 2851125361113
BaseRepresentation
bin110100101100100011…
…110010110100000000
312102001022022022112122
4310230203302310000
51411340012434040
641554331543412
74042105246352
oct645443626400
9172038268478
1056582155520
1121aa6173a00
12ab712bab68
1354496270c7
142a4a99d0d2
1517126731b5
hexd2c8f2d00

56582155520 has 432 divisors, whose sum is σ = 155637444816. Its totient is φ = 19680460800.

The previous prime is 56582155423. The next prime is 56582155523. The reversal of 56582155520 is 2555128565.

It can be written as a sum of positive squares in 8 ways, for example, as 17238639616 + 39343515904 = 131296^2 + 198352^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56582155523) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 500726984 + ... + 500727096.

It is an arithmetic number, because the mean of its divisors is an integer number (360271863).

Almost surely, 256582155520 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 56582155520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77818722408).

56582155520 is an abundant number, since it is smaller than the sum of its proper divisors (99055289296).

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

56582155520 is a wasteful number, since it uses less digits than its factorization.

56582155520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 600000, while the sum is 44.

The spelling of 56582155520 in words is "fifty-six billion, five hundred eighty-two million, one hundred fifty-five thousand, five hundred twenty".