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2900385792 = 213353147
BaseRepresentation
bin1010110011100000…
…0110000000000000
321111010120212100000
42230320012000000
521414444321132
61155445200000
7131605605153
oct25470060000
97433525300
102900385792
111259212857
1268b400000
13372b77515
141d72b5c9a
1511e96887c
hexace06000

2900385792 has 336 divisors, whose sum is σ = 9159800832. Its totient is φ = 915701760.

The previous prime is 2900385773. The next prime is 2900385799. The reversal of 2900385792 is 2975830092.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2900385799) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61710313 + ... + 61710359.

It is an arithmetic number, because the mean of its divisors is an integer number (27261312).

Almost surely, 22900385792 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 2900385792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4579900416).

2900385792 is an abundant number, since it is smaller than the sum of its proper divisors (6259415040).

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

2900385792 is an frugal number, since it uses more digits than its factorization.

2900385792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 2900385792 is about 53855.2299410187. The cubic root of 2900385792 is about 1426.1063806647.

The spelling of 2900385792 in words is "two billion, nine hundred million, three hundred eighty-five thousand, seven hundred ninety-two".