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5018016 = 253167313
BaseRepresentation
bin10011001001000110100000
3100102221102110
4103021012200
52241034031
6255315320
760436533
oct23110640
910387373
105018016
112918123
12181bb40
131069053
14948a1a
15691c46
hex4c91a0

5018016 has 48 divisors (see below), whose sum is σ = 13293504. Its totient is φ = 1657344.

The previous prime is 5018003. The next prime is 5018017. The reversal of 5018016 is 6108105.

5018016 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 5017983 and 5018001.

It is not an unprimeable number, because it can be changed into a prime (5018017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15876 + ... + 16188.

It is an arithmetic number, because the mean of its divisors is an integer number (276948).

Almost surely, 25018016 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 5018016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6646752).

5018016 is an abundant number, since it is smaller than the sum of its proper divisors (8275488).

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

5018016 is a wasteful number, since it uses less digits than its factorization.

5018016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 5018016 is about 2240.0928552183. The cubic root of 5018016 is about 171.2027279968.

It can be divided in two parts, 501 and 8016, that multiplied together give a square (4016016 = 20042).

The spelling of 5018016 in words is "five million, eighteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 167 313 334 501 626 668 939 1002 1252 1336 1878 2004 2504 2672 3756 4008 5008 5344 7512 8016 10016 15024 16032 30048 52271 104542 156813 209084 313626 418168 627252 836336 1254504 1672672 2509008 5018016