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56248816 = 24131943331
BaseRepresentation
bin1101011010010…
…0100111110000
310220211201212111
43112210213300
5103344430231
65325335104
71252051501
oct326444760
9126751774
1056248816
1129829628
1216a07494
13b865730
147682ba8
154e114b1
hex35a49f0

56248816 has 80 divisors (see below), whose sum is σ = 126797440. Its totient is φ = 23950080.

The previous prime is 56248813. The next prime is 56248817. The reversal of 56248816 is 61884265.

56248816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56248811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169771 + ... + 170101.

It is an arithmetic number, because the mean of its divisors is an integer number (1584968).

Almost surely, 256248816 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 56248816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63398720).

56248816 is an abundant number, since it is smaller than the sum of its proper divisors (70548624).

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

56248816 is a wasteful number, since it uses less digits than its factorization.

56248816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 408 counting only the distinct ones).

The product of its digits is 92160, while the sum is 40.

The square root of 56248816 is about 7499.9210662513. The cubic root of 56248816 is about 383.1520278509.

The spelling of 56248816 in words is "fifty-six million, two hundred forty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 16 19 26 38 43 52 76 86 104 152 172 208 247 304 331 344 494 559 662 688 817 988 1118 1324 1634 1976 2236 2648 3268 3952 4303 4472 5296 6289 6536 8606 8944 10621 12578 13072 14233 17212 21242 25156 28466 34424 42484 50312 56932 68848 81757 84968 100624 113864 163514 169936 185029 227728 270427 327028 370058 540854 654056 740116 1081708 1308112 1480232 2163416 2960464 3515551 4326832 7031102 14062204 28124408 56248816