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3982114820 = 2251126117681
BaseRepresentation
bin1110110101011010…
…0100000000000100
3101021112001101121002
43231112210000010
531123410133240
61455050312432
7200452263125
oct35526440004
911245041532
103982114820
111763888892
12931728718
134b5ccba78
1429ac1a04c
151848e0d15
hexed5a4004

3982114820 has 24 divisors (see below), whose sum is σ = 8363656728. Its totient is φ = 1592614400.

The previous prime is 3982114781. The next prime is 3982114841. The reversal of 3982114820 is 284112893.

It can be written as a sum of positive squares in 4 ways, for example, as 1085307136 + 2896807684 = 32944^2 + 53822^2 .

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, 216380 + ... + 234060.

It is an arithmetic number, because the mean of its divisors is an integer number (348485697).

Almost surely, 23982114820 is an apocalyptic number.

It is an amenable number.

3982114820 is an abundant number, since it is smaller than the sum of its proper divisors (4381541908).

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

3982114820 is a wasteful number, since it uses less digits than its factorization.

3982114820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28951 (or 28949 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 3982114820 is about 63104.0000316937. Note that the first 4 decimals coincide. The cubic root of 3982114820 is about 1585.0316041558.

The spelling of 3982114820 in words is "three billion, nine hundred eighty-two million, one hundred fourteen thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 11261 17681 22522 35362 45044 56305 70724 88405 112610 176810 225220 353620 199105741 398211482 796422964 995528705 1991057410 3982114820