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2585530376 = 2311135342643
BaseRepresentation
bin1001101000011100…
…0001000000001000
320200012010112220022
42122013001000020
520243343433001
61104320520012
7121033434302
oct23207010010
96605115808
102585530376
111107512270
12601a80008
13322877b40
141a7556972
15101ec311b
hex9a1c1008

2585530376 has 64 divisors (see below), whose sum is σ = 5802995520. Its totient is φ = 1064344320.

The previous prime is 2585530369. The next prime is 2585530421. The reversal of 2585530376 is 6730355852.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39311 + ... + 81953.

It is an arithmetic number, because the mean of its divisors is an integer number (90671805).

Almost surely, 22585530376 is an apocalyptic number.

2585530376 is a gapful number since it is divisible by the number (26) 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 2585530376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2901497760).

2585530376 is an abundant number, since it is smaller than the sum of its proper divisors (3217465144).

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

2585530376 is a wasteful number, since it uses less digits than its factorization.

2585530376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42726 (or 42722 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 44.

The square root of 2585530376 is about 50848.1108400302. The cubic root of 2585530376 is about 1372.5132575807.

The spelling of 2585530376 in words is "two billion, five hundred eighty-five million, five hundred thirty thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 13 22 26 44 52 53 88 104 106 143 212 286 424 572 583 689 1144 1166 1378 2332 2756 4664 5512 7579 15158 30316 42643 60632 85286 170572 341144 469073 554359 938146 1108718 1876292 2217436 2260079 3752584 4434872 4520158 6097949 9040316 12195898 18080632 24391796 24860869 29381027 48783592 49721738 58762054 99443476 117524108 198886952 235048216 323191297 646382594 1292765188 2585530376