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5757128 = 2313197281
BaseRepresentation
bin10101111101100011001000
3101211111021222
4111331203020
52433212003
6323221212
766635426
oct25754310
911744258
105757128
113282463
121b17808
1312675b0
14a9c116
1578ac38
hex57d8c8

5757128 has 32 divisors (see below), whose sum is σ = 11725560. Its totient is φ = 2634240.

The previous prime is 5757127. The next prime is 5757131. The reversal of 5757128 is 8217575.

It can be written as a sum of positive squares in 4 ways, for example, as 5579044 + 178084 = 2362^2 + 422^2 .

It is not an unprimeable number, because it can be changed into a prime (5757121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20348 + ... + 20628.

Almost surely, 25757128 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 5757128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5862780).

5757128 is an abundant number, since it is smaller than the sum of its proper divisors (5968432).

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

5757128 is a wasteful number, since it uses less digits than its factorization.

5757128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 493 counting only the distinct ones).

The product of its digits is 19600, while the sum is 35.

The square root of 5757128 is about 2399.4015920642. The cubic root of 5757128 is about 179.2263918665.

It can be divided in two parts, 5757 and 128, that added together give a palindrome (5885).

The spelling of 5757128 in words is "five million, seven hundred fifty-seven thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 26 52 104 197 281 394 562 788 1124 1576 2248 2561 3653 5122 7306 10244 14612 20488 29224 55357 110714 221428 442856 719641 1439282 2878564 5757128