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5007216 = 243731429
BaseRepresentation
bin10011000110011101110000
3100102101121110
4103012131300
52240212331
6255153320
760363204
oct23063560
910371543
105007216
11290aaa5
121815840
131064166
14944b04
1568d946
hex4c6770

5007216 has 40 divisors (see below), whose sum is σ = 13121680. Its totient is φ = 1645056.

The previous prime is 5007209. The next prime is 5007251. The reversal of 5007216 is 6127005.

It is a junction number, because it is equal to n+sod(n) for n = 5007192 and 5007201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2790 + ... + 4218.

It is an arithmetic number, because the mean of its divisors is an integer number (328042).

Almost surely, 25007216 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 5007216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6560840).

5007216 is an abundant number, since it is smaller than the sum of its proper divisors (8114464).

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

5007216 is a wasteful number, since it uses less digits than its factorization.

5007216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 5007216 is about 2237.6809424044. The cubic root of 5007216 is about 171.0798163691.

The spelling of 5007216 in words is "five million, seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 292 438 584 876 1168 1429 1752 2858 3504 4287 5716 8574 11432 17148 22864 34296 68592 104317 208634 312951 417268 625902 834536 1251804 1669072 2503608 5007216