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2825903880 = 23325171034483
BaseRepresentation
bin1010100001101111…
…1101111100001000
321021221102210100200
42220123331330020
521241412411010
61144224532200
7130012533552
oct25033757410
97257383320
102825903880
111220170458
1266a481060
133605c9997
141cb4484d2
15118154cc0
hexa86fdf08

2825903880 has 192 divisors, whose sum is σ = 9821036160. Its totient is φ = 702203904.

The previous prime is 2825903867. The next prime is 2825903891. The reversal of 2825903880 is 883095282.

2825903880 is a `hidden beast` number, since 28 + 2 + 590 + 38 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 628119 + ... + 632601.

It is an arithmetic number, because the mean of its divisors is an integer number (51151230).

Almost surely, 22825903880 is an apocalyptic number.

2825903880 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 2825903880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4910518080).

2825903880 is an abundant number, since it is smaller than the sum of its proper divisors (6995132280).

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

2825903880 is a wasteful number, since it uses less digits than its factorization.

2825903880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4620 (or 4613 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 2825903880 is about 53159.2313714185. The cubic root of 2825903880 is about 1413.7928964650.

The spelling of 2825903880 in words is "two billion, eight hundred twenty-five million, nine hundred three thousand, eight hundred eighty".