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3982896 = 2432171627
BaseRepresentation
bin1111001100011000110000
321111100111200
433030120300
52004423041
6221211200
745565641
oct17143060
97440450
103982896
112280455
121400b00
13a95b58
147596c8
1553a1b6
hex3cc630

3982896 has 60 divisors (see below), whose sum is σ = 11809512. Its totient is φ = 1248768.

The previous prime is 3982883. The next prime is 3982903. The reversal of 3982896 is 6982893.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1635 + ... + 3261.

Almost surely, 23982896 is an apocalyptic number.

3982896 is a gapful number since it is divisible by the number (36) 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 3982896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5904756).

3982896 is an abundant number, since it is smaller than the sum of its proper divisors (7826616).

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

3982896 is a wasteful number, since it uses less digits than its factorization.

3982896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658 (or 1649 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 3982896 is about 1995.7194191569. The cubic root of 3982896 is about 158.5135243728.

The spelling of 3982896 in words is "three million, nine hundred eighty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 1627 2448 3254 4881 6508 9762 13016 14643 19524 26032 27659 29286 39048 55318 58572 78096 82977 110636 117144 165954 221272 234288 248931 331908 442544 497862 663816 995724 1327632 1991448 3982896