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3993993 = 32443777
BaseRepresentation
bin1111001111000110001001
321111220201200
433033012021
52010301433
6221334413
745643203
oct17170611
97456650
103993993
112288823
121407409
13a9ac13
1475d773
1553d613
hex3cf189

3993993 has 6 divisors (see below), whose sum is σ = 5769114. Its totient is φ = 2662656.

The previous prime is 3993991. The next prime is 3994007.

3993993 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 3283344 + 710649 = 1812^2 + 843^2 .

It is not a de Polignac number, because 3993993 - 21 = 3993991 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (3993991) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 221880 + ... + 221897.

It is an arithmetic number, because the mean of its divisors is an integer number (961519).

Almost surely, 23993993 is an apocalyptic number.

It is an amenable number.

3993993 is a deficient number, since it is larger than the sum of its proper divisors (1775121).

3993993 is a wasteful number, since it uses less digits than its factorization.

3993993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443783 (or 443780 counting only the distinct ones).

The product of its digits is 177147, while the sum is 45.

The square root of 3993993 is about 1998.4976857630. The cubic root of 3993993 is about 158.6606027349.

The spelling of 3993993 in words is "three million, nine hundred ninety-three thousand, nine hundred ninety-three".

Divisors: 1 3 9 443777 1331331 3993993