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2032482816 = 293271337131
BaseRepresentation
bin111100100100101…
…0011101000000000
312020122110211021100
41321021103220000
513130303422231
6533403054400
7101236550610
oct17111235000
95218424240
102032482816
11953313471
12488811400
1326510b470
14153d12a40
15bd67c1e6
hex79253a00

2032482816 has 480 divisors, whose sum is σ = 7471271808. Its totient is φ = 517570560.

The previous prime is 2032482811. The next prime is 2032482857. The reversal of 2032482816 is 6182842302.

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

It is not an unprimeable number, because it can be changed into a prime (2032482811) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15515071 + ... + 15515201.

Almost surely, 22032482816 is an apocalyptic number.

2032482816 is a gapful number since it is divisible by the number (26) 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 2032482816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3735635904).

2032482816 is an abundant number, since it is smaller than the sum of its proper divisors (5438788992).

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

2032482816 is a wasteful number, since it uses less digits than its factorization.

2032482816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2032482816 is about 45083.0657342643. The cubic root of 2032482816 is about 1266.7054161122.

The spelling of 2032482816 in words is "two billion, thirty-two million, four hundred eighty-two thousand, eight hundred sixteen".