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3982817052 = 2232176507871
BaseRepresentation
bin1110110101100100…
…1111011100011100
3101021120101001212200
43231121033130130
531124100121202
61455113331500
7200461246344
oct35531173434
911246331780
103982817052
111764218445
12931a06b90
134b61b65a6
1429ad5dd24
151849cde1c
hexed64f71c

3982817052 has 36 divisors (see below), whose sum is σ = 10659894336. Its totient is φ = 1249511040.

The previous prime is 3982817029. The next prime is 3982817053. The reversal of 3982817052 is 2507182893.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 3982816989 and 3982817007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3982817053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3253324 + ... + 3254547.

It is an arithmetic number, because the mean of its divisors is an integer number (296108176).

Almost surely, 23982817052 is an apocalyptic number.

It is an amenable number.

3982817052 is an abundant number, since it is smaller than the sum of its proper divisors (6677077284).

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

3982817052 is a wasteful number, since it uses less digits than its factorization.

3982817052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6507898 (or 6507893 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 3982817052 is about 63109.5638710964. The cubic root of 3982817052 is about 1585.1247702699.

The spelling of 3982817052 in words is "three billion, nine hundred eighty-two million, eight hundred seventeen thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 6507871 13015742 19523613 26031484 39047226 58570839 78094452 110633807 117141678 221267614 234283356 331901421 442535228 663802842 995704263 1327605684 1991408526 3982817052