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5218416 = 2432731167
BaseRepresentation
bin10011111010000001110000
3100211010022200
4103322001300
52313442131
6303503200
762233020
oct23720160
910733280
105218416
112a44745
1218b7b00
131109328
1499ba80
156d12e6
hex4fa070

5218416 has 120 divisors (see below), whose sum is σ = 17332224. Its totient is φ = 1434240.

The previous prime is 5218397. The next prime is 5218417. The reversal of 5218416 is 6148125.

It is a self number, because there is not a number n which added to its sum of digits gives 5218416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5218417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31165 + ... + 31331.

Almost surely, 25218416 is an apocalyptic number.

5218416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5218416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8666112).

5218416 is an abundant number, since it is smaller than the sum of its proper divisors (12113808).

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

5218416 is a wasteful number, since it uses less digits than its factorization.

5218416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 210 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 5218416 is about 2284.3852564749. The cubic root of 5218416 is about 173.4521013760.

The spelling of 5218416 in words is "five million, two hundred eighteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 36 42 48 56 62 63 72 84 93 112 124 126 144 167 168 186 217 248 252 279 334 336 372 434 496 501 504 558 651 668 744 868 1002 1008 1116 1169 1302 1336 1488 1503 1736 1953 2004 2232 2338 2604 2672 3006 3472 3507 3906 4008 4464 4676 5177 5208 6012 7014 7812 8016 9352 10354 10416 10521 12024 14028 15531 15624 18704 20708 21042 24048 28056 31062 31248 36239 41416 42084 46593 56112 62124 72478 82832 84168 93186 108717 124248 144956 168336 186372 217434 248496 289912 326151 372744 434868 579824 652302 745488 869736 1304604 1739472 2609208 5218416