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5084590456 = 2311199533191
BaseRepresentation
bin1001011110001000…
…01011000101111000
3111010100112221212001
410233010023011320
540403123343311
62200312230344
7240000206611
oct45704130570
914110487761
105084590456
11217a134080
12b9a99b3b4
1363053850a
14363400c08
151eb5b54c1
hex12f10b178

5084590456 has 64 divisors (see below), whose sum is σ = 10962604800. Its totient is φ = 2186553600.

The previous prime is 5084590453. The next prime is 5084590481. The reversal of 5084590456 is 6540954805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5084590451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1591821 + ... + 1595011.

It is an arithmetic number, because the mean of its divisors is an integer number (171290700).

Almost surely, 25084590456 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 5084590456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5481302400).

5084590456 is an abundant number, since it is smaller than the sum of its proper divisors (5878014344).

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

5084590456 is a wasteful number, since it uses less digits than its factorization.

5084590456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4180 (or 4176 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 46.

The square root of 5084590456 is about 71306.3142786107. The cubic root of 5084590456 is about 1719.5652470694.

The spelling of 5084590456 in words is "five billion, eighty-four million, five hundred ninety thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 418 836 953 1672 1906 3191 3812 6382 7624 10483 12764 18107 20966 25528 35101 36214 41932 60629 70202 72428 83864 121258 140404 144856 199177 242516 280808 398354 485032 666919 796708 1333838 1593416 2667676 3041023 5335352 6082046 12164092 24328184 33451253 57779437 66902506 115558874 133805012 231117748 267610024 462235496 635573807 1271147614 2542295228 5084590456