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5757966 = 23435543
BaseRepresentation
bin10101111101110000001110
3101211112110000
4111331300032
52433223331
6323225130
766641034
oct25756016
911745400
105757966
113283055
121b181a6
131267aa6
14a9c554
1578b0e6
hex57dc0e

5757966 has 20 divisors (see below), whose sum is σ = 12902472. Its totient is φ = 1919268.

The previous prime is 5757949. The next prime is 5757967. The reversal of 5757966 is 6697575.

It is a happy number.

5757966 is a `hidden beast` number, since 575 + 79 + 6 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5757967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 17610 + ... + 17933.

Almost surely, 25757966 is an apocalyptic number.

5757966 is an abundant number, since it is smaller than the sum of its proper divisors (7144506).

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

5757966 is a wasteful number, since it uses less digits than its factorization.

5757966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35557 (or 35548 counting only the distinct ones).

The product of its digits is 396900, while the sum is 45.

The square root of 5757966 is about 2399.5762125842. The cubic root of 5757966 is about 179.2350874308.

Subtracting from 5757966 its sum of digits (45), we obtain a triangular number (5757921 = T3393).

The spelling of 5757966 in words is "five million, seven hundred fifty-seven thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 35543 71086 106629 213258 319887 639774 959661 1919322 2878983 5757966