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2852800290 = 233531733331
BaseRepresentation
bin1010101000001010…
…0100011100100010
321100211001021022000
42222002210130202
521320304102130
61151025224430
7130460255004
oct25202443442
97324037260
102852800290
11123437109a
12677492116
13366056112
141d0c4a374
1511a6b9260
hexaa0a4722

2852800290 has 64 divisors (see below), whose sum is σ = 7631694720. Its totient is φ = 758324160.

The previous prime is 2852800261. The next prime is 2852800309. The reversal of 2852800290 is 920082582.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68925 + ... + 102255.

It is an arithmetic number, because the mean of its divisors is an integer number (119245230).

Almost surely, 22852800290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2852800290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3815847360).

2852800290 is an abundant number, since it is smaller than the sum of its proper divisors (4778894430).

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

2852800290 is a wasteful number, since it uses less digits than its factorization.

2852800290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33664 (or 33658 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2852800290 is about 53411.6119397271. The cubic root of 2852800290 is about 1418.2641438559.

The spelling of 2852800290 in words is "two billion, eight hundred fifty-two million, eight hundred thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 317 634 951 1585 1902 2853 3170 4755 5706 8559 9510 14265 17118 28530 33331 42795 66662 85590 99993 166655 199986 299979 333310 499965 599958 899937 999930 1499895 1799874 2999790 4499685 8999370 10565927 21131854 31697781 52829635 63395562 95093343 105659270 158488905 190186686 285280029 316977810 475466715 570560058 950933430 1426400145 2852800290