Search a number
-
+
5004254112 = 25311213311069
BaseRepresentation
bin1001010100100011…
…01101101110100000
3110220202101110002220
410222101231232200
540222042112422
62144322311040
7235003313064
oct45221555640
913822343086
105004254112
112138853200
12b77ab8480
136199bb010
1435688baa4
151e44e6e5c
hex12a46dba0

5004254112 has 288 divisors, whose sum is σ = 16066229760. Its totient is φ = 1353369600.

The previous prime is 5004254111. The next prime is 5004254137. The reversal of 5004254112 is 2114524005.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (5004254111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4680714 + ... + 4681782.

It is an arithmetic number, because the mean of its divisors is an integer number (55785520).

Almost surely, 25004254112 is an apocalyptic number.

5004254112 is a gapful number since it is divisible by the number (52) 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 5004254112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8033114880).

5004254112 is an abundant number, since it is smaller than the sum of its proper divisors (11061975648).

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

5004254112 is a wasteful number, since it uses less digits than its factorization.

5004254112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 5004254112 is about 70740.7528373850. The cubic root of 5004254112 is about 1710.4607711491.

Adding to 5004254112 its reverse (2114524005), we get a palindrome (7118778117).

The spelling of 5004254112 in words is "five billion, four million, two hundred fifty-four thousand, one hundred twelve".