Search a number
-
+
5019564 = 2231123457
BaseRepresentation
bin10011001001011110101100
3100110000112210
4103021132230
52241111224
6255330420
760444204
oct23113654
910400483
105019564
112919300
121820a10
131069974
14949404
15692429
hex4c97ac

5019564 has 36 divisors (see below), whose sum is σ = 12877592. Its totient is φ = 1520640.

The previous prime is 5019563. The next prime is 5019569. The reversal of 5019564 is 4659105.

5019564 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5019563) 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, 277 + ... + 3180.

Almost surely, 25019564 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 5019564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6438796).

5019564 is an abundant number, since it is smaller than the sum of its proper divisors (7858028).

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

5019564 is a wasteful number, since it uses less digits than its factorization.

5019564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3486 (or 3473 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 5019564 is about 2240.4383499664. The cubic root of 5019564 is about 171.2203308752.

The spelling of 5019564 in words is "five million, nineteen thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1452 3457 6914 10371 13828 20742 38027 41484 76054 114081 152108 228162 418297 456324 836594 1254891 1673188 2509782 5019564