Search a number
-
+
56344496 = 2413416607
BaseRepresentation
bin1101011011101…
…1111110110000
310221000121010012
43112323332300
5103411010441
65331354052
71252630445
oct326737660
9127017105
1056344496
11298944aa
1216a52928
13b89a150
1476a99cc
154e2e9eb
hex35bbfb0

56344496 has 40 divisors (see below), whose sum is σ = 120450624. Its totient is φ = 25367040.

The previous prime is 56344447. The next prime is 56344507. The reversal of 56344496 is 69444365.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5225 + ... + 11831.

Almost surely, 256344496 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 56344496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60225312).

56344496 is an abundant number, since it is smaller than the sum of its proper divisors (64106128).

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

56344496 is a wasteful number, since it uses less digits than its factorization.

56344496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6669 (or 6663 counting only the distinct ones).

The product of its digits is 311040, while the sum is 41.

The square root of 56344496 is about 7506.2970897774. The cubic root of 56344496 is about 383.3691537205.

The spelling of 56344496 in words is "fifty-six million, three hundred forty-four thousand, four hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 41 52 82 104 164 208 328 533 656 1066 2132 4264 6607 8528 13214 26428 52856 85891 105712 171782 270887 343564 541774 687128 1083548 1374256 2167096 3521531 4334192 7043062 14086124 28172248 56344496