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2089245312 = 27347112617
BaseRepresentation
bin111110010000111…
…0101101010000000
312101121021122210000
41330201311222000
513234321322222
6543151440000
7102526202130
oct17441655200
95347248700
102089245312
11982362a20
124a3826000
13273ac393b
1415b68aac0
15c36409ac
hex7c875a80

2089245312 has 320 divisors, whose sum is σ = 7754725440. Its totient is φ = 542453760.

The previous prime is 2089245281. The next prime is 2089245329. The reversal of 2089245312 is 2135429802.

It is a happy number.

2089245312 is a `hidden beast` number, since 20 + 89 + 24 + 531 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 797028 + ... + 799644.

It is an arithmetic number, because the mean of its divisors is an integer number (24233517).

Almost surely, 22089245312 is an apocalyptic number.

2089245312 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 2089245312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3877362720).

2089245312 is an abundant number, since it is smaller than the sum of its proper divisors (5665480128).

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

2089245312 is a wasteful number, since it uses less digits than its factorization.

2089245312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2661 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2089245312 is about 45708.2630604139. The cubic root of 2089245312 is about 1278.3893543558.

The spelling of 2089245312 in words is "two billion, eighty-nine million, two hundred forty-five thousand, three hundred twelve".