Search a number
-
+
2482990080 = 210351737257
BaseRepresentation
bin1001001111111111…
…0110110000000000
320102001011222001120
42103333312300000
520041121140310
61050215032240
7115350032064
oct22377666000
96361158046
102482990080
11106464621a
1259366b680
13307554ccc
14197aa3aa4
15e7ebab70
hex93ff6c00

2482990080 has 352 divisors, whose sum is σ = 8669716416. Its totient is φ = 603979776.

The previous prime is 2482990079. The next prime is 2482990123. The reversal of 2482990080 is 800992842.

2482990080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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, 9661312 + ... + 9661568.

Almost surely, 22482990080 is an apocalyptic number.

2482990080 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 2482990080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4334858208).

2482990080 is an abundant number, since it is smaller than the sum of its proper divisors (6186726336).

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

2482990080 is a wasteful number, since it uses less digits than its factorization.

2482990080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 2482990080 is about 49829.6104740946. The cubic root of 2482990080 is about 1354.1236655105.

The spelling of 2482990080 in words is "two billion, four hundred eighty-two million, nine hundred ninety thousand, eighty".