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3982512 = 243292861
BaseRepresentation
bin1111001100010010110000
321111022222110
433030102300
52004420022
6221205320
745564552
oct17142260
97438873
103982512
112280136
121400840
13a95921
147594d2
1553a00c
hex3cc4b0

3982512 has 40 divisors (see below), whose sum is σ = 10646640. Its totient is φ = 1281280.

The previous prime is 3982499. The next prime is 3982513. The reversal of 3982512 is 2152893.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3982512.

It is not an unprimeable number, because it can be changed into a prime (3982513) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39 + ... + 2822.

It is an arithmetic number, because the mean of its divisors is an integer number (266166).

Almost surely, 23982512 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 3982512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5323320).

3982512 is an abundant number, since it is smaller than the sum of its proper divisors (6664128).

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

3982512 is a wasteful number, since it uses less digits than its factorization.

3982512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2901 (or 2895 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 3982512 is about 1995.6232109294. The cubic root of 3982512 is about 158.5084299934.

The spelling of 3982512 in words is "three million, nine hundred eighty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 2861 5722 8583 11444 17166 22888 34332 45776 68664 82969 137328 165938 248907 331876 497814 663752 995628 1327504 1991256 3982512