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2483085880 = 2351144312739
BaseRepresentation
bin1001010000000000…
…1110001000111000
320102001100211110201
42110000032020320
520041132222010
61050221051544
7115350611302
oct22400161070
96361324421
102483085880
1110647011a0
125936b6bb4
133075897b2
14197aca972
15e7ed923a
hex9400e238

2483085880 has 64 divisors (see below), whose sum is σ = 6109084800. Its totient is φ = 900831360.

The previous prime is 2483085877. The next prime is 2483085887. The reversal of 2483085880 is 885803842.

It is a happy number.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2483085880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2483085887) 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, 188551 + ... + 201289.

It is an arithmetic number, because the mean of its divisors is an integer number (95454450).

Almost surely, 22483085880 is an apocalyptic number.

2483085880 is a gapful number since it is divisible by the number (20) 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 2483085880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3054542400).

2483085880 is an abundant number, since it is smaller than the sum of its proper divisors (3625998920).

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

2483085880 is a wasteful number, since it uses less digits than its factorization.

2483085880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13204 (or 13200 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 46.

The square root of 2483085880 is about 49830.5717406493. The cubic root of 2483085880 is about 1354.1410804517.

The spelling of 2483085880 in words is "two billion, four hundred eighty-three million, eighty-five thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 443 886 1772 2215 3544 4430 4873 8860 9746 12739 17720 19492 24365 25478 38984 48730 50956 63695 97460 101912 127390 140129 194920 254780 280258 509560 560516 700645 1121032 1401290 2802580 5605160 5643377 11286754 22573508 28216885 45147016 56433770 62077147 112867540 124154294 225735080 248308588 310385735 496617176 620771470 1241542940 2483085880