Search a number
-
+
5679456 = 25367883
BaseRepresentation
bin10101101010100101100000
3101200112202020
4111222211200
52423220311
6321421440
766163116
oct25524540
911615666
105679456
11322a072
121a9a880
13123b133
14a7bab6
15772c06
hex56a960

5679456 has 48 divisors (see below), whose sum is σ = 15148224. Its totient is φ = 1862784.

The previous prime is 5679451. The next prime is 5679467. The reversal of 5679456 is 6549765.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5679451) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5991 + ... + 6873.

It is an arithmetic number, because the mean of its divisors is an integer number (315588).

Almost surely, 25679456 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 5679456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7574112).

5679456 is an abundant number, since it is smaller than the sum of its proper divisors (9468768).

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

5679456 is a wasteful number, since it uses less digits than its factorization.

5679456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 955 counting only the distinct ones).

The product of its digits is 226800, while the sum is 42.

The square root of 5679456 is about 2383.1609261651. The cubic root of 5679456 is about 178.4167317922.

The spelling of 5679456 in words is "five million, six hundred seventy-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 402 536 804 883 1072 1608 1766 2144 2649 3216 3532 5298 6432 7064 10596 14128 21192 28256 42384 59161 84768 118322 177483 236644 354966 473288 709932 946576 1419864 1893152 2839728 5679456