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5013376 = 2753739
BaseRepresentation
bin10011000111111110000000
3100102201001121
4103013332000
52240412001
6255242024
760420154
oct23077600
910381047
105013376
112914695
121819314
131066bc4
14947064
156906a1
hex4c7f80

5013376 has 32 divisors (see below), whose sum is σ = 10189800. Its totient is φ = 2456064.

The previous prime is 5013347. The next prime is 5013377. The reversal of 5013376 is 6733105.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 5013376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5013377) 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 3 ways as a sum of consecutive naturals, for example, 6415 + ... + 7153.

Almost surely, 25013376 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 5013376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5094900).

5013376 is an abundant number, since it is smaller than the sum of its proper divisors (5176424).

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

5013376 is an equidigital number, since it uses as much as digits as its factorization.

5013376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 25.

The square root of 5013376 is about 2239.0569443406. The cubic root of 5013376 is about 171.1499431492.

The spelling of 5013376 in words is "five million, thirteen thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 424 739 848 1478 1696 2956 3392 5912 6784 11824 23648 39167 47296 78334 94592 156668 313336 626672 1253344 2506688 5013376