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3982506 = 231183727
BaseRepresentation
bin1111001100010010101010
321111022222020
433030102222
52004420011
6221205310
745564543
oct17142252
97438866
103982506
112280130
121400836
13a95918
147594ca
1553a006
hex3cc4aa

3982506 has 32 divisors (see below), whose sum is σ = 8805888. Its totient is φ = 1190640.

The previous prime is 3982499. The next prime is 3982513. The reversal of 3982506 is 6052893.

It is a happy number.

3982506 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3982499) and next prime (3982513).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5115 + ... + 5841.

It is an arithmetic number, because the mean of its divisors is an integer number (275184).

Almost surely, 23982506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3982506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4402944).

3982506 is an abundant number, since it is smaller than the sum of its proper divisors (4823382).

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

3982506 is a wasteful number, since it uses less digits than its factorization.

3982506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826.

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 3982506 is about 1995.6217076390. The cubic root of 3982506 is about 158.5083503912.

The spelling of 3982506 in words is "three million, nine hundred eighty-two thousand, five hundred six".

Divisors: 1 2 3 6 11 22 33 66 83 166 249 498 727 913 1454 1826 2181 2739 4362 5478 7997 15994 23991 47982 60341 120682 181023 362046 663751 1327502 1991253 3982506