Search a number
-
+
5750800 = 2452111307
BaseRepresentation
bin10101111100000000010000
3101211011121121
4111330000100
52433011200
6323132024
766611116
oct25740020
911734547
105750800
113278730
121b14014
131264753
14a99ab6
15788e1a
hex57c010

5750800 has 60 divisors (see below), whose sum is σ = 15083856. Its totient is φ = 2089600.

The previous prime is 5750791. The next prime is 5750807. The reversal of 5750800 is 80575.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (5750807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3747 + ... + 5053.

Almost surely, 25750800 is an apocalyptic number.

5750800 is a gapful number since it is divisible by the number (50) 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 5750800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7541928).

5750800 is an abundant number, since it is smaller than the sum of its proper divisors (9333056).

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

5750800 is a wasteful number, since it uses less digits than its factorization.

5750800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 25.

The square root of 5750800 is about 2398.0825673859. The cubic root of 5750800 is about 179.1607016823.

5750800 divided by its sum of digits (25) gives a palindrome (230032).

The spelling of 5750800 in words is "five million, seven hundred fifty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 1307 2200 2614 4400 5228 6535 10456 13070 14377 20912 26140 28754 32675 52280 57508 65350 71885 104560 115016 130700 143770 230032 261400 287540 359425 522800 575080 718850 1150160 1437700 2875400 5750800