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5753088 = 283211227
BaseRepresentation
bin10101111100100100000000
3101211021202100
4111330210000
52433044323
6323150400
766620565
oct25744400
911737670
105753088
11327a420
121b15400
1312657c3
14a9a86c
15789943
hex57c900

5753088 has 108 divisors (see below), whose sum is σ = 18175248. Its totient is φ = 1735680.

The previous prime is 5753087. The next prime is 5753113. The reversal of 5753088 is 8803575.

It is a happy number.

5753088 is a `hidden beast` number, since 575 + 3 + 0 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5753087) 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, 25231 + ... + 25457.

Almost surely, 25753088 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 5753088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9087624).

5753088 is an abundant number, since it is smaller than the sum of its proper divisors (12422160).

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

5753088 is a wasteful number, since it uses less digits than its factorization.

5753088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 5753088 is about 2398.5595677406. The cubic root of 5753088 is about 179.1844586862.

It can be divided in two parts, 575 and 3088, that added together give a palindrome (3663).

The spelling of 5753088 in words is "five million, seven hundred fifty-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 227 256 264 288 352 384 396 454 528 576 681 704 768 792 908 1056 1152 1362 1408 1584 1816 2043 2112 2304 2497 2724 2816 3168 3632 4086 4224 4994 5448 6336 7264 7491 8172 8448 9988 10896 12672 14528 14982 16344 19976 21792 22473 25344 29056 29964 32688 39952 43584 44946 58112 59928 65376 79904 87168 89892 119856 130752 159808 174336 179784 239712 261504 319616 359568 479424 523008 639232 719136 958848 1438272 1917696 2876544 5753088