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5713696 = 252947131
BaseRepresentation
bin10101110010111100100000
3101202021201101
4111302330200
52430314241
6322244144
766365002
oct25627440
911667641
105713696
11325286a
121ab6654
1312508b1
14a8a372
1577ce31
hex572f20

5713696 has 48 divisors (see below), whose sum is σ = 11975040. Its totient is φ = 2679040.

The previous prime is 5713681. The next prime is 5713709. The reversal of 5713696 is 6963175.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43551 + ... + 43681.

It is an arithmetic number, because the mean of its divisors is an integer number (249480).

Almost surely, 25713696 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 5713696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5987520).

5713696 is an abundant number, since it is smaller than the sum of its proper divisors (6261344).

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

5713696 is a wasteful number, since it uses less digits than its factorization.

5713696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 209 counting only the distinct ones).

The product of its digits is 34020, while the sum is 37.

The square root of 5713696 is about 2390.3338678938. Note that the first 3 decimals coincide. The cubic root of 5713696 is about 178.7745567514.

The spelling of 5713696 in words is "five million, seven hundred thirteen thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 29 32 47 58 94 116 131 188 232 262 376 464 524 752 928 1048 1363 1504 2096 2726 3799 4192 5452 6157 7598 10904 12314 15196 21808 24628 30392 43616 49256 60784 98512 121568 178553 197024 357106 714212 1428424 2856848 5713696