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5755456 = 26729443
BaseRepresentation
bin10101111101001001000000
3101211102000001
4111331021000
52433133311
6323205344
766630520
oct25751100
911742001
105755456
113281183
121b16854
1312668c5
14a9b680
1578a4c1
hex57d240

5755456 has 56 divisors (see below), whose sum is σ = 13533120. Its totient is φ = 2376192.

The previous prime is 5755441. The next prime is 5755459. The reversal of 5755456 is 6545575.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (5755459) 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, 12771 + ... + 13213.

Almost surely, 25755456 is an apocalyptic number.

5755456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5755456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6766560).

5755456 is an abundant number, since it is smaller than the sum of its proper divisors (7777664).

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

5755456 is a wasteful number, since it uses less digits than its factorization.

5755456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 481 counting only the distinct ones).

The product of its digits is 105000, while the sum is 37.

The square root of 5755456 is about 2399.0531465559. The cubic root of 5755456 is about 179.2090397226.

The spelling of 5755456 in words is "five million, seven hundred fifty-five thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 203 224 232 406 443 448 464 812 886 928 1624 1772 1856 3101 3248 3544 6202 6496 7088 12404 12847 12992 14176 24808 25694 28352 49616 51388 89929 99232 102776 179858 198464 205552 359716 411104 719432 822208 1438864 2877728 5755456