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3983749 = 721119389
BaseRepresentation
bin1111001100100110000101
321111101200021
433030212011
52004434444
6221215141
745601300
oct17144605
97441607
103983749
112281060
1214014b1
13a96363
14759b37
1553a584
hex3cc985

3983749 has 24 divisors (see below), whose sum is σ = 5335200. Its totient is φ = 2933280.

The previous prime is 3983747. The next prime is 3983773. The reversal of 3983749 is 9473893.

3983749 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3983749 - 21 = 3983747 is a prime.

It is a d-powerful number, because it can be written as 33 + 92 + 87 + 312 + 77 + 43 + 96 .

3983749 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3983747) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10047 + ... + 10435.

It is an arithmetic number, because the mean of its divisors is an integer number (222300).

Almost surely, 23983749 is an apocalyptic number.

It is an amenable number.

3983749 is a deficient number, since it is larger than the sum of its proper divisors (1351451).

3983749 is a wasteful number, since it uses less digits than its factorization.

3983749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 426 counting only the distinct ones).

The product of its digits is 163296, while the sum is 43.

The square root of 3983749 is about 1995.9331151118. The cubic root of 3983749 is about 158.5248396222.

The spelling of 3983749 in words is "three million, nine hundred eighty-three thousand, seven hundred forty-nine".

Divisors: 1 7 11 19 49 77 133 209 389 539 931 1463 2723 4279 7391 10241 19061 29953 51737 81301 209671 362159 569107 3983749