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4082338560 = 28351063109
BaseRepresentation
bin1111001101010011…
…1000101100000000
3101112111122021201110
43303110320230000
531330034313220
61513030403320
7203110206456
oct36324705400
911474567643
104082338560
111805412423
1295b200540
135009c0361
142aa2689d6
1518d5dbbe0
hexf3538b00

4082338560 has 72 divisors (see below), whose sum is σ = 13037981040. Its totient is φ = 1088622592.

The previous prime is 4082338531. The next prime is 4082338577. The reversal of 4082338560 is 658332804.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 527715 + ... + 535394.

It is an arithmetic number, because the mean of its divisors is an integer number (181083070).

Almost surely, 24082338560 is an apocalyptic number.

4082338560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4082338560 is an abundant number, since it is smaller than the sum of its proper divisors (8955642480).

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

4082338560 is a wasteful number, since it uses less digits than its factorization.

4082338560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063133 (or 1063119 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 4082338560 is about 63893.1808568019. The cubic root of 4082338560 is about 1598.2191853390.

The spelling of 4082338560 in words is "four billion, eighty-two million, three hundred thirty-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 1063109 2126218 3189327 4252436 5315545 6378654 8504872 10631090 12757308 15946635 17009744 21262180 25514616 31893270 34019488 42524360 51029232 63786540 68038976 85048720 102058464 127573080 136077952 170097440 204116928 255146160 272155904 340194880 408233856 510292320 680389760 816467712 1020584640 1360779520 2041169280 4082338560