Search a number
-
+
56287440 = 243351123103
BaseRepresentation
bin1101011010111…
…0000011010000
310220220200212000
43112232003100
5103402144230
65330234000
71252302216
oct326560320
9126820760
1056287440
1129855650
1216a25900
13b87a1a1
147692cb6
154e1cb60
hex35ae0d0

56287440 has 320 divisors, whose sum is σ = 222842880. Its totient is φ = 12925440.

The previous prime is 56287433. The next prime is 56287477. The reversal of 56287440 is 4478265.

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

It is a junction number, because it is equal to n+sod(n) for n = 56287395 and 56287404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 546429 + ... + 546531.

It is an arithmetic number, because the mean of its divisors is an integer number (696384).

Almost surely, 256287440 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 56287440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111421440).

56287440 is an abundant number, since it is smaller than the sum of its proper divisors (166555440).

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

56287440 is a wasteful number, since it uses less digits than its factorization.

56287440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 56287440 is about 7502.4955848038. The cubic root of 56287440 is about 383.2397066027.

It can be divided in two parts, 56 and 287440, that added together give a cube (287496 = 663).

The spelling of 56287440 in words is "fifty-six million, two hundred eighty-seven thousand, four hundred forty".