Search a number
-
+
2820852480 = 28351923412
BaseRepresentation
bin1010100000100010…
…1100101100000000
321021120221011010210
42220020230230000
521234114234410
61143524354120
7126621564465
oct25010545400
97246834123
102820852480
111218330246
12668845940
1335c54b6a4
141ca8d166c
151179a8220
hexa822cb00

2820852480 has 432 divisors, whose sum is σ = 10142818560. Its totient is φ = 665026560.

The previous prime is 2820852473. The next prime is 2820852523. The reversal of 2820852480 is 842580282.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68801260 + ... + 68801300.

Almost surely, 22820852480 is an apocalyptic number.

2820852480 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 2820852480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5071409280).

2820852480 is an abundant number, since it is smaller than the sum of its proper divisors (7321966080).

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

2820852480 is a wasteful number, since it uses less digits than its factorization.

2820852480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The square root of 2820852480 is about 53111.6981464536. The cubic root of 2820852480 is about 1412.9499929462.

The spelling of 2820852480 in words is "two billion, eight hundred twenty million, eight hundred fifty-two thousand, four hundred eighty".