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2139883392 = 2738836311
BaseRepresentation
bin111111110001100…
…0000011110000000
312112010120100011110
41333203000132000
513340302232032
6552201043320
7104012465043
oct17743003600
95463510143
102139883392
119a89aa079
124b8786540
132814435ba
141642acc5a
15c7ce47cc
hex7f8c0780

2139883392 has 64 divisors (see below), whose sum is σ = 5691404160. Its totient is φ = 712373760.

The previous prime is 2139883387. The next prime is 2139883409. The reversal of 2139883392 is 2933889312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a zygodrome in base 2.

It is a congruent number.

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, 335917 + ... + 342227.

It is an arithmetic number, because the mean of its divisors is an integer number (88928190).

Almost surely, 22139883392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2139883392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845702080).

2139883392 is an abundant number, since it is smaller than the sum of its proper divisors (3551520768).

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

2139883392 is an equidigital number, since it uses as much as digits as its factorization.

2139883392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7211 (or 7199 counting only the distinct ones).

The product of its digits is 559872, while the sum is 48.

The square root of 2139883392 is about 46258.8736568456. The cubic root of 2139883392 is about 1288.6353358991.

The spelling of 2139883392 in words is "two billion, one hundred thirty-nine million, eight hundred eighty-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 883 1766 2649 3532 5298 6311 7064 10596 12622 14128 18933 21192 25244 28256 37866 42384 50488 56512 75732 84768 100976 113024 151464 169536 201952 302928 339072 403904 605856 807808 1211712 2423424 5572613 11145226 16717839 22290452 33435678 44580904 66871356 89161808 133742712 178323616 267485424 356647232 534970848 713294464 1069941696 2139883392