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2482456320 = 283251131907
BaseRepresentation
bin1001001111110111…
…0100011100000000
320102000011211212200
42103331310130000
520041002100240
61050155353200
7115342346661
oct22375643400
96360154780
102482456320
1110643111a3
12593452800
133073c9086
141979a5368
15e7e12930
hex93f74700

2482456320 has 216 divisors, whose sum is σ = 8669593296. Its totient is φ = 655785984.

The previous prime is 2482456307. The next prime is 2482456321. The reversal of 2482456320 is 236542842.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2482456321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1300807 + ... + 1302713.

It is an arithmetic number, because the mean of its divisors is an integer number (40137006).

Almost surely, 22482456320 is an apocalyptic number.

2482456320 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 2482456320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4334796648).

2482456320 is an abundant number, since it is smaller than the sum of its proper divisors (6187136976).

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

2482456320 is a wasteful number, since it uses less digits than its factorization.

2482456320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047 (or 2030 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 2482456320 is about 49824.2543346110. The cubic root of 2482456320 is about 1354.0266280917.

The spelling of 2482456320 in words is "two billion, four hundred eighty-two million, four hundred fifty-six thousand, three hundred twenty".