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5000457056 = 2574371759
BaseRepresentation
bin1001010100000110…
…01110101101100000
3110220111020112112012
410222003032231200
540220104111211
62144105052052
7234626120000
oct45203165540
913814215465
105000457056
11213669a441
12b76787028
13618c8b93a
14356180000
151e3ee6d8b
hex12a0ceb60

5000457056 has 120 divisors (see below), whose sum is σ = 11801845440. Its totient is φ = 2083947264.

The previous prime is 5000457043. The next prime is 5000457103. The reversal of 5000457056 is 6507540005.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2841905 + ... + 2843663.

It is an arithmetic number, because the mean of its divisors is an integer number (98348712).

Almost surely, 25000457056 is an apocalyptic number.

5000457056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5000457056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5900922720).

5000457056 is an abundant number, since it is smaller than the sum of its proper divisors (6801388384).

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

5000457056 is an equidigital number, since it uses as much as digits as its factorization.

5000457056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1834 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 32.

The square root of 5000457056 is about 70713.9099187706. The cubic root of 5000457056 is about 1710.0280487402.

The spelling of 5000457056 in words is "five billion, four hundred fifty-seven thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 37 49 56 74 98 112 148 196 224 259 296 343 392 518 592 686 784 1036 1184 1372 1568 1759 1813 2072 2401 2744 3518 3626 4144 4802 5488 7036 7252 8288 9604 10976 12313 12691 14072 14504 19208 24626 25382 28144 29008 38416 49252 50764 56288 58016 65083 76832 86191 88837 98504 101528 130166 172382 177674 197008 203056 260332 344764 355348 394016 406112 455581 520664 603337 689528 710696 911162 1041328 1206674 1379056 1421392 1822324 2082656 2413348 2758112 2842784 3189067 3644648 4223359 4826696 6378134 7289296 8446718 9653392 12756268 14578592 16893436 19306784 22323469 25512536 33786872 44646938 51025072 67573744 89293876 102050144 135147488 156264283 178587752 312528566 357175504 625057132 714351008 1250114264 2500228528 5000457056