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5752608 = 253311933
BaseRepresentation
bin10101111100011100100000
3101211021002120
4111330130200
52433040413
6323144240
766616311
oct25743440
911737076
105752608
11327a024
121b15080
131265514
14a9a608
15789723
hex57c720

5752608 has 48 divisors (see below), whose sum is σ = 15595776. Its totient is φ = 1854720.

The previous prime is 5752601. The next prime is 5752609. The reversal of 5752608 is 8062575.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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 (5752601) 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 7 ways as a sum of consecutive naturals, for example, 2010 + ... + 3942.

It is an arithmetic number, because the mean of its divisors is an integer number (324912).

Almost surely, 25752608 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 5752608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7797888).

5752608 is an abundant number, since it is smaller than the sum of its proper divisors (9843168).

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

5752608 is a wasteful number, since it uses less digits than its factorization.

5752608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1977 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 5752608 is about 2398.4595055994. The cubic root of 5752608 is about 179.1794752216.

Subtracting from 5752608 its sum of digits (33), we obtain a palindrome (5752575).

The spelling of 5752608 in words is "five million, seven hundred fifty-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 1933 2976 3866 5799 7732 11598 15464 23196 30928 46392 59923 61856 92784 119846 179769 185568 239692 359538 479384 719076 958768 1438152 1917536 2876304 5752608