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5007016 = 237253241
BaseRepresentation
bin10011000110011010101000
3100102101100001
4103012122220
52240211031
6255152344
760362500
oct23063250
910371301
105007016
11290a933
1218156b4
131064041
14944a00
1568d861
hex4c66a8

5007016 has 48 divisors (see below), whose sum is σ = 11173140. Its totient is φ = 2096640.

The previous prime is 5007011. The next prime is 5007017. The reversal of 5007016 is 6107005.

It can be written as a sum of positive squares in 2 ways, for example, as 4708900 + 298116 = 2170^2 + 546^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5006984 and 5007002.

It is not an unprimeable number, because it can be changed into a prime (5007011) 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, 20656 + ... + 20896.

Almost surely, 25007016 is an apocalyptic number.

5007016 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 5007016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5586570).

5007016 is an abundant number, since it is smaller than the sum of its proper divisors (6166124).

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

5007016 is a wasteful number, since it uses less digits than its factorization.

5007016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 5007016 is about 2237.6362528347. The cubic root of 5007016 is about 171.0775385618.

It can be divided in two parts, 50070 and 16, that added together give a triangular number (50086 = T316).

The spelling of 5007016 in words is "five million, seven thousand, sixteen".

Divisors: 1 2 4 7 8 14 28 49 53 56 98 106 196 212 241 371 392 424 482 742 964 1484 1687 1928 2597 2968 3374 5194 6748 10388 11809 12773 13496 20776 23618 25546 47236 51092 89411 94472 102184 178822 357644 625877 715288 1251754 2503508 5007016