Search a number
-
+
6040644225 = 3527111815779
BaseRepresentation
bin1011010000000110…
…01110101010000001
3120120222112112001220
411220003032222001
544332401103400
62435223545253
7302456425440
oct55003165201
916528475056
106040644225
11261a871460
121206bbb229
137536298c5
1441438cd57
152554b57a0
hex1680cea81

6040644225 has 96 divisors (see below), whose sum is σ = 12522531840. Its totient is φ = 2496096000.

The previous prime is 6040644191. The next prime is 6040644271. The reversal of 6040644225 is 5224460406.

It is not a de Polignac number, because 6040644225 - 213 = 6040636033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1042386 + ... + 1048164.

It is an arithmetic number, because the mean of its divisors is an integer number (130443040).

Almost surely, 26040644225 is an apocalyptic number.

It is an amenable number.

6040644225 is an abundant number, since it is smaller than the sum of its proper divisors (6481887615).

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

6040644225 is a wasteful number, since it uses less digits than its factorization.

6040644225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5991 (or 5986 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The square root of 6040644225 is about 77721.5814622940. The cubic root of 6040644225 is about 1821.2144437466.

The spelling of 6040644225 in words is "six billion, forty million, six hundred forty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 55 75 77 105 165 175 181 231 275 385 525 543 825 905 1155 1267 1925 1991 2715 3801 4525 5775 5779 5973 6335 9955 13575 13937 17337 19005 28895 29865 31675 40453 41811 49775 63569 69685 86685 95025 121359 144475 149325 190707 202265 209055 317845 348425 433425 444983 606795 953535 1011325 1045275 1045999 1334949 1589225 2224915 3033975 3137997 4767675 5229995 6674745 7321993 11124575 11505989 15689985 21965979 26149975 33373725 34517967 36609965 57529945 78449925 80541923 109829895 172589835 183049825 241625769 287649725 402709615 549149475 862949175 1208128845 2013548075 6040644225