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5010368 = 26112647
BaseRepresentation
bin10011000111001111000000
3100102112221012
4103013033000
52240312433
6255220052
760405326
oct23071700
910375835
105010368
112912400
121817628
13106571c
14945d16
1568e848
hex4c73c0

5010368 has 42 divisors (see below), whose sum is σ = 10945368. Its totient is φ = 2273920.

The previous prime is 5010367. The next prime is 5010373. The reversal of 5010368 is 8630105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5010361) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7421 + ... + 8067.

It is an arithmetic number, because the mean of its divisors is an integer number (260604).

Almost surely, 25010368 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 5010368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5472684).

5010368 is an abundant number, since it is smaller than the sum of its proper divisors (5935000).

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

5010368 is a wasteful number, since it uses less digits than its factorization.

5010368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 5010368 is about 2238.3851321879. The cubic root of 5010368 is about 171.1157066037.

It can be divided in two parts, 50 and 10368, that multiplied together give a square (518400 = 7202).

The spelling of 5010368 in words is "five million, ten thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 647 704 968 1294 1936 2588 3872 5176 7117 7744 10352 14234 20704 28468 41408 56936 78287 113872 156574 227744 313148 455488 626296 1252592 2505184 5010368