Search a number
-
+
2473089840 = 2433513293037
BaseRepresentation
bin1001001101101000…
…0101101100110000
320101100112222111000
42103122011230300
520031102333330
61045222522000
7115166626314
oct22332055460
96340488430
102473089840
111059aa4001
12590296300
13305499990
14196647b44
15e71b2560
hex93685b30

2473089840 has 320 divisors, whose sum is σ = 9493142400. Its totient is φ = 587575296.

The previous prime is 2473089833. The next prime is 2473089901. The reversal of 2473089840 is 489803742.

It is a super-2 number, since 2×24730898402 = 12232346713422451200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 812802 + ... + 815838.

It is an arithmetic number, because the mean of its divisors is an integer number (29666070).

Almost surely, 22473089840 is an apocalyptic number.

2473089840 is a gapful number since it is divisible by the number (20) 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 2473089840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4746571200).

2473089840 is an abundant number, since it is smaller than the sum of its proper divisors (7020052560).

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

2473089840 is a wasteful number, since it uses less digits than its factorization.

2473089840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3101 (or 3089 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2473089840 is about 49730.1703194349. The cubic root of 2473089840 is about 1352.3215363306.

The spelling of 2473089840 in words is "two billion, four hundred seventy-three million, eighty-nine thousand, eight hundred forty".