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2098448352 = 25327111329251
BaseRepresentation
bin111110100010011…
…1100011111100000
312102020121012222100
41331010330133200
513244200321402
6544121010400
7103000342140
oct17504743740
95366535870
102098448352
11987579340
124a6923a00
13275996820
1415c9a4920
15c435c71c
hex7d13c7e0

2098448352 has 576 divisors, whose sum is σ = 8321564160. Its totient is φ = 483840000.

The previous prime is 2098448351. The next prime is 2098448357. The reversal of 2098448352 is 2538448902.

It is a junction number, because it is equal to n+sod(n) for n = 2098448298 and 2098448307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2098448351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8360227 + ... + 8360477.

It is an arithmetic number, because the mean of its divisors is an integer number (14447160).

Almost surely, 22098448352 is an apocalyptic number.

2098448352 is a gapful number since it is divisible by the number (22) 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 2098448352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4160782080).

2098448352 is an abundant number, since it is smaller than the sum of its proper divisors (6223115808).

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

2098448352 is a wasteful number, since it uses less digits than its factorization.

2098448352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 2098448352 is about 45808.8239534699. The cubic root of 2098448352 is about 1280.2636891640.

The spelling of 2098448352 in words is "two billion, ninety-eight million, four hundred forty-eight thousand, three hundred fifty-two".