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5009616 = 2432191831
BaseRepresentation
bin10011000111000011010000
3100102111220100
4103013003100
52240301431
6255212400
760403203
oct23070320
910374810
105009616
112911887
121817100
131065291
1494593a
1568e4e6
hex4c70d0

5009616 has 60 divisors (see below), whose sum is σ = 14765920. Its totient is φ = 1581120.

The previous prime is 5009603. The next prime is 5009617. The reversal of 5009616 is 6169005.

5009616 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 5009616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5009617) 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, 1821 + ... + 3651.

Almost surely, 25009616 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 5009616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7382960).

5009616 is an abundant number, since it is smaller than the sum of its proper divisors (9756304).

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

5009616 is a wasteful number, since it uses less digits than its factorization.

5009616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1864 (or 1855 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 5009616 is about 2238.2171476423. The cubic root of 5009616 is about 171.1071453264.

It can be divided in two parts, 5009 and 616, that added together give a square (5625 = 752).

The spelling of 5009616 in words is "five million, nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 1831 2736 3662 5493 7324 10986 14648 16479 21972 29296 32958 34789 43944 65916 69578 87888 104367 131832 139156 208734 263664 278312 313101 417468 556624 626202 834936 1252404 1669872 2504808 5009616