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2047411296 = 253372137353
BaseRepresentation
bin111101000001001…
…0000010001100000
312021200120021022000
41322002100101200
513143114130141
6535055044000
7101510465100
oct17202202140
95250507260
102047411296
1196078a457
12491810600
13268237398
14155cbb200
15beb2a5b6
hex7a090460

2047411296 has 288 divisors, whose sum is σ = 7017101280. Its totient is φ = 579059712.

The previous prime is 2047411283. The next prime is 2047411297. The reversal of 2047411296 is 6921147402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2047411296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2047411297) 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, 5799856 + ... + 5800208.

It is an arithmetic number, because the mean of its divisors is an integer number (24364935).

Almost surely, 22047411296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2047411296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3508550640).

2047411296 is an abundant number, since it is smaller than the sum of its proper divisors (4969689984).

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

2047411296 is a wasteful number, since it uses less digits than its factorization.

2047411296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2047411296 is about 45248.3292067232. The cubic root of 2047411296 is about 1269.7991490087.

Adding to 2047411296 its reverse (6921147402), we get a palindrome (8968558698).

The spelling of 2047411296 in words is "two billion, forty-seven million, four hundred eleven thousand, two hundred ninety-six".