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5368576 = 2867313
BaseRepresentation
bin10100011110101100000000
3101002202022011
4110132230000
52333243301
6311022304
763426553
oct24365400
911082264
105368576
113037544
12196a994
13115c795
149da69a
15710a51
hex51eb00

5368576 has 36 divisors (see below), whose sum is σ = 10910872. Its totient is φ = 2635776.

The previous prime is 5368547. The next prime is 5368579. The reversal of 5368576 is 6758635.

5368576 = T63 + T64 + ... + T318.

It is not an unprimeable number, because it can be changed into a prime (5368579) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16996 + ... + 17308.

Almost surely, 25368576 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 5368576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5455436).

5368576 is an abundant number, since it is smaller than the sum of its proper divisors (5542296).

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

5368576 is an equidigital number, since it uses as much as digits as its factorization.

5368576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 382 counting only the distinct ones).

The product of its digits is 151200, while the sum is 40.

The square root of 5368576 is about 2317.0187742010. The cubic root of 5368576 is about 175.1000896825.

It can be divided in two parts, 536 and 8576, that multiplied together give a square (4596736 = 21442).

The spelling of 5368576 in words is "five million, three hundred sixty-eight thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 67 128 134 256 268 313 536 626 1072 1252 2144 2504 4288 5008 8576 10016 17152 20032 20971 40064 41942 80128 83884 167768 335536 671072 1342144 2684288 5368576