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5175664 = 2413149167
BaseRepresentation
bin10011101111100101110000
3100201221200021
4103233211300
52311110124
6302533224
761664254
oct23574560
910657607
105175664
112a1560a
121897214
1310c2a30
1498a264
156c37e4
hex4ef970

5175664 has 40 divisors (see below), whose sum is σ = 10936800. Its totient is φ = 2358528.

The previous prime is 5175661. The next prime is 5175673. The reversal of 5175664 is 4665715.

It is a happy number.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5175661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30909 + ... + 31075.

It is an arithmetic number, because the mean of its divisors is an integer number (273420).

Almost surely, 25175664 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 5175664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5468400).

5175664 is an abundant number, since it is smaller than the sum of its proper divisors (5761136).

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

5175664 is a wasteful number, since it uses less digits than its factorization.

5175664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 331 counting only the distinct ones).

The product of its digits is 25200, while the sum is 34.

The square root of 5175664 is about 2275.0085714124. The cubic root of 5175664 is about 172.9771317518.

The spelling of 5175664 in words is "five million, one hundred seventy-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 52 104 149 167 208 298 334 596 668 1192 1336 1937 2171 2384 2672 3874 4342 7748 8684 15496 17368 24883 30992 34736 49766 99532 199064 323479 398128 646958 1293916 2587832 5175664