Search a number
-
+
5692968 = 2332372137
BaseRepresentation
bin10101101101111000101000
3101201020021200
4111231320220
52424133333
6322004200
766250401
oct25557050
911636250
105692968
113239236
121aa6660
131244328
14a829a8
15776c13
hex56de28

5692968 has 48 divisors (see below), whose sum is σ = 15842580. Its totient is φ = 1845504.

The previous prime is 5692963. The next prime is 5693021. The reversal of 5692968 is 8692965.

5692968 is a `hidden beast` number, since 569 + 29 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5673924 + 19044 = 2382^2 + 138^2 .

It is not an unprimeable number, because it can be changed into a prime (5692963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1596 + ... + 3732.

Almost surely, 25692968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5692968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7921290).

5692968 is an abundant number, since it is smaller than the sum of its proper divisors (10149612).

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

5692968 is a wasteful number, since it uses less digits than its factorization.

5692968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186 (or 2179 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 5692968 is about 2385.9941324320. The cubic root of 5692968 is about 178.5581102143.

The spelling of 5692968 in words is "five million, six hundred ninety-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2137 2664 4274 6411 8548 12822 17096 19233 25644 38466 51288 76932 79069 153864 158138 237207 316276 474414 632552 711621 948828 1423242 1897656 2846484 5692968