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5713752 = 2331123941
BaseRepresentation
bin10101110010111101011000
3101202021210110
4111302331120
52430320002
6322244320
766365112
oct25627530
911667713
105713752
113252910
121ab66a0
131250925
14a8a3b2
1577ce6c
hex572f58

5713752 has 64 divisors (see below), whose sum is σ = 16277760. Its totient is φ = 1654400.

The previous prime is 5713739. The next prime is 5713753. The reversal of 5713752 is 2573175.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5713753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5602 + ... + 6542.

It is an arithmetic number, because the mean of its divisors is an integer number (254340).

Almost surely, 25713752 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 5713752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8138880).

5713752 is an abundant number, since it is smaller than the sum of its proper divisors (10564008).

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

5713752 is a wasteful number, since it uses less digits than its factorization.

5713752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 980 counting only the distinct ones).

The product of its digits is 7350, while the sum is 30.

The square root of 5713752 is about 2390.3455817099. The cubic root of 5713752 is about 178.7751408067.

The spelling of 5713752 in words is "five million, seven hundred thirteen thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 552 759 941 1012 1518 1882 2024 2823 3036 3764 5646 6072 7528 10351 11292 20702 21643 22584 31053 41404 43286 62106 64929 82808 86572 124212 129858 173144 238073 248424 259716 476146 519432 714219 952292 1428438 1904584 2856876 5713752