Search a number
-
+
2040480288 = 253371130671
BaseRepresentation
bin111100110011111…
…0100001000100000
312021012112010202000
41321213310020200
513134330332123
6534250324000
7101364540060
oct17147641040
95235463660
102040480288
11957886050
1248b429600
1326697b6b2
14154dd53a0
15be20bb43
hex799f4220

2040480288 has 192 divisors, whose sum is σ = 7420170240. Its totient is φ = 529977600.

The previous prime is 2040480269. The next prime is 2040480293. The reversal of 2040480288 is 8820840402.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51193 + ... + 81863.

It is an arithmetic number, because the mean of its divisors is an integer number (38646720).

Almost surely, 22040480288 is an apocalyptic number.

2040480288 is a gapful number since it is divisible by the number (28) 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 2040480288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3710085120).

2040480288 is an abundant number, since it is smaller than the sum of its proper divisors (5379689952).

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

2040480288 is a wasteful number, since it uses less digits than its factorization.

2040480288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30708 (or 30694 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 2040480288 is about 45171.6757271634. The cubic root of 2040480288 is about 1268.3646647258.

The spelling of 2040480288 in words is "two billion, forty million, four hundred eighty thousand, two hundred eighty-eight".