Search a number
-
+
5345792 = 2953197
BaseRepresentation
bin10100011001001000000000
3101001121001022
4110121020000
52332031132
6310325012
763303254
oct24311000
911047038
105345792
113021411
121959768
1311522ba
149d2264
15708e12
hex519200

5345792 has 40 divisors (see below), whose sum is σ = 10937916. Its totient is φ = 2609152.

The previous prime is 5345789. The next prime is 5345819. The reversal of 5345792 is 2975435.

It can be written as a sum of positive squares in 2 ways, for example, as 4393216 + 952576 = 2096^2 + 976^2 .

Its product of digits (37800) is a multiple of the sum of its prime divisors (252).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27038 + ... + 27234.

Almost surely, 25345792 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 5345792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5468958).

5345792 is an abundant number, since it is smaller than the sum of its proper divisors (5592124).

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

5345792 is an equidigital number, since it uses as much as digits as its factorization.

5345792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 252 counting only the distinct ones).

The product of its digits is 37800, while the sum is 35.

The square root of 5345792 is about 2312.0968837832. The cubic root of 5345792 is about 174.8520327481.

The spelling of 5345792 in words is "five million, three hundred forty-five thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 32 53 64 106 128 197 212 256 394 424 512 788 848 1576 1696 3152 3392 6304 6784 10441 12608 13568 20882 25216 27136 41764 50432 83528 100864 167056 334112 668224 1336448 2672896 5345792