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5756166 = 23213171447
BaseRepresentation
bin10101111101010100000110
3101211102222100
4111331110012
52433144131
6323212530
766632553
oct25752406
911742870
105756166
113281769
121b17146
131267020
14a9ba2a
1578a7e6
hex57d506

5756166 has 48 divisors (see below), whose sum is σ = 14230944. Its totient is φ = 1665792.

The previous prime is 5756161. The next prime is 5756189. The reversal of 5756166 is 6616575.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5756166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5756161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3255 + ... + 4701.

It is an arithmetic number, because the mean of its divisors is an integer number (296478).

Almost surely, 25756166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5756166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7115472).

5756166 is an abundant number, since it is smaller than the sum of its proper divisors (8474778).

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

5756166 is a wasteful number, since it uses less digits than its factorization.

5756166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485 (or 1482 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 5756166 is about 2399.2011170388. The cubic root of 5756166 is about 179.2164085674.

The spelling of 5756166 in words is "five million, seven hundred fifty-six thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 234 306 442 663 1326 1447 1989 2894 3978 4341 8682 13023 18811 24599 26046 37622 49198 56433 73797 112866 147594 169299 221391 319787 338598 442782 639574 959361 1918722 2878083 5756166