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5157966 = 2311312521
BaseRepresentation
bin10011101011010001001110
3100201001101210
4103223101032
52310023331
6302315250
761561542
oct23532116
910631353
105157966
112a03290
121888b26
1310b7968
14983a22
156bd446
hex4eb44e

5157966 has 32 divisors (see below), whose sum is σ = 11621376. Its totient is φ = 1512000.

The previous prime is 5157947. The next prime is 5157967. The reversal of 5157966 is 6697515.

5157966 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51579662 = 53209226514312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5157967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 786 + ... + 3306.

It is an arithmetic number, because the mean of its divisors is an integer number (363168).

Almost surely, 25157966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5157966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5810688).

5157966 is an abundant number, since it is smaller than the sum of its proper divisors (6463410).

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

5157966 is a wasteful number, since it uses less digits than its factorization.

5157966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2568.

The product of its digits is 56700, while the sum is 39.

The square root of 5157966 is about 2271.1155849054. The cubic root of 5157966 is about 172.7797435317.

The spelling of 5157966 in words is "five million, one hundred fifty-seven thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 341 682 1023 2046 2521 5042 7563 15126 27731 55462 78151 83193 156302 166386 234453 468906 859661 1719322 2578983 5157966