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3697993 = 131729577
BaseRepresentation
bin1110000110110101001001
320221212200201
432012311021
51421313433
6211132201
743301215
oct16066511
96855621
103697993
1120a63a2
1212a4061
139c6280
146c3945
154d0a7d
hex386d49

3697993 has 16 divisors (see below), whose sum is σ = 4369680. Its totient is φ = 3096576.

The previous prime is 3697949. The next prime is 3697997. The reversal of 3697993 is 3997963.

3697993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 356409 + 3341584 = 597^2 + 1828^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3697993 is a prime.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3697997) 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 15 ways as a sum of consecutive naturals, for example, 6121 + ... + 6697.

It is an arithmetic number, because the mean of its divisors is an integer number (273105).

Almost surely, 23697993 is an apocalyptic number.

It is an amenable number.

3697993 is a deficient number, since it is larger than the sum of its proper divisors (671687).

3697993 is a wasteful number, since it uses less digits than its factorization.

3697993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636.

The product of its digits is 275562, while the sum is 46.

The square root of 3697993 is about 1923.0166405936. The cubic root of 3697993 is about 154.6400666659.

The spelling of 3697993 in words is "three million, six hundred ninety-seven thousand, nine hundred ninety-three".

Divisors: 1 13 17 29 221 377 493 577 6409 7501 9809 16733 127517 217529 284461 3697993