Search a number
-
+
5279744 = 2121289
BaseRepresentation
bin10100001001000000000000
3100221020110002
4110021000000
52322422434
6305055132
762606561
oct24110000
910836402
105279744
112a86828
1219274a8
13112b212
149b6168
156e457e
hex509000

5279744 has 26 divisors (see below), whose sum is σ = 10566390. Its totient is φ = 2637824.

The previous prime is 5279737. The next prime is 5279767. The reversal of 5279744 is 4479725.

It can be written as a sum of positive squares in only one way, i.e., 5017600 + 262144 = 2240^2 + 512^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5279698 and 5279707.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3452 + ... + 4740.

Almost surely, 25279744 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 5279744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5283195).

5279744 is an abundant number, since it is smaller than the sum of its proper divisors (5286646).

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

5279744 is an equidigital number, since it uses as much as digits as its factorization.

5279744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1291 counting only the distinct ones).

The product of its digits is 70560, while the sum is 38.

The square root of 5279744 is about 2297.7693530901. The cubic root of 5279744 is about 174.1289395274.

The spelling of 5279744 in words is "five million, two hundred seventy-nine thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1289 2048 2578 4096 5156 10312 20624 41248 82496 164992 329984 659968 1319936 2639872 5279744