Search a number
-
+
5002144 = 257137163
BaseRepresentation
bin10011000101001110100000
3100102010122121
4103011032200
52240032034
6255114024
760342340
oct23051640
910363577
105002144
112907204
121812914
131061a64
14942d20
1568c1b4
hex4c53a0

5002144 has 48 divisors (see below), whose sum is σ = 11406528. Its totient is φ = 2115072.

The previous prime is 5002133. The next prime is 5002157. The reversal of 5002144 is 4412005.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30607 + ... + 30769.

It is an arithmetic number, because the mean of its divisors is an integer number (237636).

Almost surely, 25002144 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 5002144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5703264).

5002144 is an abundant number, since it is smaller than the sum of its proper divisors (6404384).

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

5002144 is a wasteful number, since it uses less digits than its factorization.

5002144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 5002144 is about 2236.5473390921. The cubic root of 5002144 is about 171.0220324312.

Adding to 5002144 its reverse (4412005), we get a palindrome (9414149).

The spelling of 5002144 in words is "five million, two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 137 163 224 274 326 548 652 959 1096 1141 1304 1918 2192 2282 2608 3836 4384 4564 5216 7672 9128 15344 18256 22331 30688 36512 44662 89324 156317 178648 312634 357296 625268 714592 1250536 2501072 5002144