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5024016 = 2432139251
BaseRepresentation
bin10011001010100100010000
3100110020122200
4103022210100
52241232031
6255403200
760463164
oct23124420
910406580
105024016
112921688
121823500
13106b9ba
1494aca4
156938e6
hex4ca910

5024016 has 60 divisors (see below), whose sum is σ = 14217840. Its totient is φ = 1656000.

The previous prime is 5024011. The next prime is 5024023. The reversal of 5024016 is 6104205.

5024016 = T61 + T62 + ... + T311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 5024016.

It is not an unprimeable number, because it can be changed into a prime (5024011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19891 + ... + 20141.

It is an arithmetic number, because the mean of its divisors is an integer number (236964).

Almost surely, 25024016 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 5024016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7108920).

5024016 is an abundant number, since it is smaller than the sum of its proper divisors (9193824).

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

5024016 is a wasteful number, since it uses less digits than its factorization.

5024016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5024016 is about 2241.4316853297. The cubic root of 5024016 is about 171.2709360448.

The spelling of 5024016 in words is "five million, twenty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 139 144 251 278 417 502 556 753 834 1004 1112 1251 1506 1668 2008 2224 2259 2502 3012 3336 4016 4518 5004 6024 6672 9036 10008 12048 18072 20016 34889 36144 69778 104667 139556 209334 279112 314001 418668 558224 628002 837336 1256004 1674672 2512008 5024016