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5013216 = 2532132103
BaseRepresentation
bin10011000111111011100000
3100102200211200
4103013323200
52240410331
6255241200
760416535
oct23077340
910380750
105013216
11291455a
121819200
131066b00
14946d8c
156905e6
hex4c7ee0

5013216 has 108 divisors (see below), whose sum is σ = 15587208. Its totient is φ = 1527552.

The previous prime is 5013209. The next prime is 5013221. The reversal of 5013216 is 6123105.

5013216 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 48621 + ... + 48723.

It is an arithmetic number, because the mean of its divisors is an integer number (144326).

Almost surely, 25013216 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 5013216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7793604).

5013216 is an abundant number, since it is smaller than the sum of its proper divisors (10573992).

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

5013216 is a wasteful number, since it uses less digits than its factorization.

5013216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 5013216 is about 2239.0212147275. The cubic root of 5013216 is about 171.1481224012.

The spelling of 5013216 in words is "five million, thirteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 103 104 117 144 156 169 206 208 234 288 309 312 338 412 416 468 507 618 624 676 824 927 936 1014 1236 1248 1339 1352 1521 1648 1854 1872 2028 2472 2678 2704 3042 3296 3708 3744 4017 4056 4944 5356 5408 6084 7416 8034 8112 9888 10712 12051 12168 14832 16068 16224 17407 21424 24102 24336 29664 32136 34814 42848 48204 48672 52221 64272 69628 96408 104442 128544 139256 156663 192816 208884 278512 313326 385632 417768 557024 626652 835536 1253304 1671072 2506608 5013216