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5331968 = 21041127
BaseRepresentation
bin10100010101110000000000
3101000220002022
4110111300000
52331110333
6310141012
763215045
oct24256000
911026068
105331968
113011a94
121951768
131148c15
149cb1cc
15704c98
hex515c00

5331968 has 44 divisors (see below), whose sum is σ = 11004672. Its totient is φ = 2580480.

The previous prime is 5331941. The next prime is 5331971. The reversal of 5331968 is 8691335.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41921 + ... + 42047.

Almost surely, 25331968 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 5331968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5502336).

5331968 is an abundant number, since it is smaller than the sum of its proper divisors (5672704).

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

5331968 is a wasteful number, since it uses less digits than its factorization.

5331968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 170 counting only the distinct ones).

The product of its digits is 19440, while the sum is 35.

The square root of 5331968 is about 2309.1054544996. The cubic root of 5331968 is about 174.7011825682.

The spelling of 5331968 in words is "five million, three hundred thirty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 41 64 82 127 128 164 254 256 328 508 512 656 1016 1024 1312 2032 2624 4064 5207 5248 8128 10414 10496 16256 20828 20992 32512 41656 41984 65024 83312 130048 166624 333248 666496 1332992 2665984 5331968