Search a number
-
+
5028945264 = 243773419
BaseRepresentation
bin1001010111011111…
…11001110101110000
3110222110211220000000
410223233321311300
540244402222024
62151003430000
7235423221000
oct45357716560
913873756000
105028945264
112150788012
12b84225300
13621b54775
14359c78000
151e6772cc9
hex12bbf9d70

5028945264 has 320 divisors, whose sum is σ = 17082240000. Its totient is φ = 1433412288.

The previous prime is 5028945263. The next prime is 5028945269. The reversal of 5028945264 is 4625498205.

5028945264 is a `hidden beast` number, since 502 + 8 + 94 + 52 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5028945263) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12002047 + ... + 12002465.

It is an arithmetic number, because the mean of its divisors is an integer number (53382000).

Almost surely, 25028945264 is an apocalyptic number.

5028945264 is a gapful number since it is divisible by the number (54) 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 5028945264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8541120000).

5028945264 is an abundant number, since it is smaller than the sum of its proper divisors (12053294736).

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

5028945264 is an frugal number, since it uses more digits than its factorization.

5028945264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 5028945264 is about 70915.0566805104. The cubic root of 5028945264 is about 1713.2693133516.

The spelling of 5028945264 in words is "five billion, twenty-eight million, nine hundred forty-five thousand, two hundred sixty-four".