Search a number
-
+
2850487200 = 253552113143
BaseRepresentation
bin1010100111100110…
…1111101110100000
321100122200202100000
42221321233232200
521314211042300
61150503500000
7130431512211
oct25171575640
97318622300
102850487200
111233031250
12676757600
13365726322
141d0807408
1511a3adc00
hexa9e6fba0

2850487200 has 864 divisors, whose sum is σ = 12011231232. Its totient is φ = 653184000.

The previous prime is 2850487193. The next prime is 2850487229. The reversal of 2850487200 is 27840582.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

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 143 ways as a sum of consecutive naturals, for example, 66290379 + ... + 66290421.

It is an arithmetic number, because the mean of its divisors is an integer number (13901888).

Almost surely, 22850487200 is an apocalyptic number.

2850487200 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 2850487200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6005615616).

2850487200 is an abundant number, since it is smaller than the sum of its proper divisors (9160744032).

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

2850487200 is a wasteful number, since it uses less digits than its factorization.

2850487200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 2850487200 is about 53389.9541112371. The cubic root of 2850487200 is about 1417.8807241374.

The spelling of 2850487200 in words is "two billion, eight hundred fifty million, four hundred eighty-seven thousand, two hundred".