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5715424 = 2511131249
BaseRepresentation
bin10101110011010111100000
3101202101002101
4111303113200
52430343144
6322300144
766403021
oct25632740
911671071
105715424
1132540a0
121ab7654
131251610
14a8ac48
1577d6d4
hex5735e0

5715424 has 48 divisors (see below), whose sum is σ = 13230000. Its totient is φ = 2396160.

The previous prime is 5715403. The next prime is 5715433. The reversal of 5715424 is 4245175.

It is a junction number, because it is equal to n+sod(n) for n = 5715392 and 5715401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3952 + ... + 5200.

It is an arithmetic number, because the mean of its divisors is an integer number (275625).

Almost surely, 25715424 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 5715424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6615000).

5715424 is an abundant number, since it is smaller than the sum of its proper divisors (7514576).

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

5715424 is a wasteful number, since it uses less digits than its factorization.

5715424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1275 counting only the distinct ones).

The product of its digits is 5600, while the sum is 28.

The square root of 5715424 is about 2390.6952963521. The cubic root of 5715424 is about 178.7925772701.

It can be divided in two parts, 571 and 5424, that added together give a palindrome (5995).

The spelling of 5715424 in words is "five million, seven hundred fifteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 572 1144 1249 2288 2498 4576 4996 9992 13739 16237 19984 27478 32474 39968 54956 64948 109912 129896 178607 219824 259792 357214 439648 519584 714428 1428856 2857712 5715424