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5082525800 = 23521121110949
BaseRepresentation
bin1001011101111000…
…10011000001101000
3111010012200001200022
410232330103001220
540402111311200
62200200100012
7236643520322
oct45674230150
914105601608
105082525800
112178a53950
12b9a164608
1362cc94821
14363024612
151eb308885
hex12ef13068

5082525800 has 96 divisors (see below), whose sum is σ = 12953412000. Its totient is φ = 1839264000.

The previous prime is 5082525797. The next prime is 5082525871. The reversal of 5082525800 is 85252805.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 458726 + ... + 469674.

It is an arithmetic number, because the mean of its divisors is an integer number (134931375).

Almost surely, 25082525800 is an apocalyptic number.

5082525800 is a gapful number since it is divisible by the number (50) 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 5082525800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6476706000).

5082525800 is an abundant number, since it is smaller than the sum of its proper divisors (7870886200).

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

5082525800 is a wasteful number, since it uses less digits than its factorization.

5082525800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11187 (or 11178 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 35.

The square root of 5082525800 is about 71291.8354371663. The cubic root of 5082525800 is about 1719.3324658590.

The spelling of 5082525800 in words is "five billion, eighty-two million, five hundred twenty-five thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 211 220 275 422 440 550 844 1055 1100 1688 2110 2200 2321 4220 4642 5275 8440 9284 10550 10949 11605 18568 21100 21898 23210 42200 43796 46420 54745 58025 87592 92840 109490 116050 120439 218980 232100 240878 273725 437960 464200 481756 547450 602195 963512 1094900 1204390 2189800 2310239 2408780 3010975 4620478 4817560 6021950 9240956 11551195 12043900 18481912 23102390 24087800 25412629 46204780 50825258 57755975 92409560 101650516 115511950 127063145 203301032 231023900 254126290 462047800 508252580 635315725 1016505160 1270631450 2541262900 5082525800