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2908452820 = 22572132171033
BaseRepresentation
bin1010110101011011…
…0111011111010100
321111200202201012211
42231112313133110
521424030442240
61200334123204
7132034304200
oct25526673724
97450681184
102908452820
111262822719
12692050504
13374740300
141d83b5b00
1512050dbea
hexad5b77d4

2908452820 has 216 divisors, whose sum is σ = 8153954424. Its totient is φ = 865492992.

The previous prime is 2908452763. The next prime is 2908452839. The reversal of 2908452820 is 282548092.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 456420496 + 2452032324 = 21364^2 + 49518^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2815024 + ... + 2816056.

It is an arithmetic number, because the mean of its divisors is an integer number (37749789).

Almost surely, 22908452820 is an apocalyptic number.

2908452820 is a gapful number since it is divisible by the number (20) 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 2908452820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4076977212).

2908452820 is an abundant number, since it is smaller than the sum of its proper divisors (5245501604).

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

2908452820 is a wasteful number, since it uses less digits than its factorization.

2908452820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 2908452820 is about 53930.0734284685. The cubic root of 2908452820 is about 1427.4273302863.

The spelling of 2908452820 in words is "two billion, nine hundred eight million, four hundred fifty-two thousand, eight hundred twenty".