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3982013388 = 2232192615023
BaseRepresentation
bin1110110101011000…
…1011001111001100
3101021111212020110100
43231112023033030
531123343412023
61455044211100
7200451361323
oct35526131714
911244766410
103982013388
111763819661
12931699a90
134b5c94852
1429abd10ba
151848c0c43
hexed58b3cc

3982013388 has 108 divisors (see below), whose sum is σ = 10799600448. Its totient is φ = 1236617280.

The previous prime is 3982013363. The next prime is 3982013389. The reversal of 3982013388 is 8833102893.

It is a super-2 number, since 2×39820133882 = 31712861244422477088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3982013389) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 790245 + ... + 795267.

Almost surely, 23982013388 is an apocalyptic number.

3982013388 is a gapful number since it is divisible by the number (38) 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 3982013388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5399800224).

3982013388 is an abundant number, since it is smaller than the sum of its proper divisors (6817587060).

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

3982013388 is a wasteful number, since it uses less digits than its factorization.

3982013388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5132 (or 5108 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 3982013388 is about 63103.1963374281. The cubic root of 3982013388 is about 1585.0181461234.

The spelling of 3982013388 in words is "three billion, nine hundred eighty-two million, thirteen thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 61 76 114 122 171 183 228 244 342 361 366 549 684 722 732 1083 1098 1159 1444 2166 2196 2318 3249 3477 4332 4636 5023 6498 6954 10046 10431 12996 13908 15069 20092 20862 22021 30138 41724 44042 45207 60276 66063 88084 90414 95437 132126 180828 190874 198189 264252 286311 306403 381748 396378 572622 612806 792756 858933 919209 1145244 1225612 1717866 1813303 1838418 2757627 3435732 3626606 3676836 5439909 5515254 5821657 7253212 10879818 11030508 11643314 16319727 17464971 21759636 23286628 32639454 34929942 52394913 65278908 69859884 104789826 110611483 209579652 221222966 331834449 442445932 663668898 995503347 1327337796 1991006694 3982013388