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2854530900 = 223252132947179
BaseRepresentation
bin1010101000100100…
…1010111101010100
321100221022012020200
42222021022331110
521321224442100
61151130300500
7130511053344
oct25211127524
97327265220
102854530900
111235343351
12677b87730
13366510a50
141d117ad24
1511a90be00
hexaa24af54

2854530900 has 432 divisors, whose sum is σ = 10236844800. Its totient is φ = 660280320.

The previous prime is 2854530893. The next prime is 2854530923. The reversal of 2854530900 is 90354582.

2854530900 is a `hidden beast` number, since 28 + 545 + 3 + 0 + 90 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 15947011 + ... + 15947189.

It is an arithmetic number, because the mean of its divisors is an integer number (23696400).

Almost surely, 22854530900 is an apocalyptic number.

2854530900 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 2854530900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5118422400).

2854530900 is an abundant number, since it is smaller than the sum of its proper divisors (7382313900).

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

2854530900 is a wasteful number, since it uses less digits than its factorization.

2854530900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2854530900 is about 53427.8101741031. The cubic root of 2854530900 is about 1418.5508756874.

The spelling of 2854530900 in words is "two billion, eight hundred fifty-four million, five hundred thirty thousand, nine hundred".