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5757072 = 243315373
BaseRepresentation
bin10101111101100010010000
3101211111012220
4111331202100
52433211242
6323221040
766635316
oct25754220
911744186
105757072
113282412
121b17780
131267569
14a9c0b6
1578abec
hex57d890

5757072 has 80 divisors (see below), whose sum is σ = 15856128. Its totient is φ = 1797120.

The previous prime is 5757071. The next prime is 5757079. The reversal of 5757072 is 2707575.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (5757071) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 78828 + ... + 78900.

Almost surely, 25757072 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 5757072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7928064).

5757072 is an abundant number, since it is smaller than the sum of its proper divisors (10099056).

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

5757072 is a wasteful number, since it uses less digits than its factorization.

5757072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 17150, while the sum is 33.

The square root of 5757072 is about 2399.3899224595. The cubic root of 5757072 is about 179.2258107486.

The spelling of 5757072 in words is "five million, seven hundred fifty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 53 62 73 93 106 124 146 159 186 212 219 248 292 318 372 424 438 496 584 636 744 848 876 1168 1272 1488 1643 1752 2263 2544 3286 3504 3869 4526 4929 6572 6789 7738 9052 9858 11607 13144 13578 15476 18104 19716 23214 26288 27156 30952 36208 39432 46428 54312 61904 78864 92856 108624 119939 185712 239878 359817 479756 719634 959512 1439268 1919024 2878536 5757072