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2012479392 = 2537211192389
BaseRepresentation
bin111011111110011…
…1111111110100000
312012020211112201210
41313330333332200
513110143320032
6531410230120
7100604535600
oct16774777640
95166745653
102012479392
11942aa0610
12481b85340
13260c26611
141513c6c00
15bba2a2cc
hex77f3ffa0

2012479392 has 576 divisors, whose sum is σ = 7446297600. Its totient is φ = 468357120.

The previous prime is 2012479379. The next prime is 2012479393. The reversal of 2012479392 is 2939742102.

It is a self number, because there is not a number n which added to its sum of digits gives 2012479392.

It is not an unprimeable number, because it can be changed into a prime (2012479393) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22612084 + ... + 22612172.

It is an arithmetic number, because the mean of its divisors is an integer number (12927600).

Almost surely, 22012479392 is an apocalyptic number.

2012479392 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 2012479392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723148800).

2012479392 is an abundant number, since it is smaller than the sum of its proper divisors (5433818208).

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

2012479392 is a wasteful number, since it uses less digits than its factorization.

2012479392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 2012479392 is about 44860.6664239398. Note that the first 3 decimals coincide. The cubic root of 2012479392 is about 1262.5361264309.

The spelling of 2012479392 in words is "two billion, twelve million, four hundred seventy-nine thousand, three hundred ninety-two".