Search a number
-
+
56112480 = 2533531419
BaseRepresentation
bin1101011000001…
…1010101100000
310220120210212000
43112003111200
5103331044410
65322404000
71250643144
oct326032540
9126523760
1056112480
1129746156
1216960600
13b818668
147649224
154dd5dc0
hex3583560

56112480 has 192 divisors, whose sum is σ = 203212800. Its totient is φ = 14446080.

The previous prime is 56112451. The next prime is 56112503. The reversal of 56112480 is 8421165.

56112480 is a `hidden beast` number, since 5 + 611 + 2 + 48 + 0 = 666.

It is a super-2 number, since 2×561124802 = 6297220823500800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133711 + ... + 134129.

It is an arithmetic number, because the mean of its divisors is an integer number (1058400).

Almost surely, 256112480 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 56112480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101606400).

56112480 is an abundant number, since it is smaller than the sum of its proper divisors (147100320).

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

56112480 is a wasteful number, since it uses less digits than its factorization.

56112480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 56112480 is about 7490.8263896582. The cubic root of 56112480 is about 382.8422158412.

It can be divided in two parts, 561 and 12480, that added together give a triangular number (13041 = T161).

The spelling of 56112480 in words is "fifty-six million, one hundred twelve thousand, four hundred eighty".