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859090940 = 225233894801
BaseRepresentation
bin110011001101001…
…010111111111100
32012212112100012222
4303031022333330
53224411402230
6221125144512
730201103211
oct6315127774
92185470188
10859090940
11400a30814
121bb85b138
13108ca2146
148214bb08
155064a6e5
hex3334affc

859090940 has 48 divisors (see below), whose sum is σ = 1887762240. Its totient is φ = 327782400.

The previous prime is 859090933. The next prime is 859090961. The reversal of 859090940 is 49090958.

It is a junction number, because it is equal to n+sod(n) for n = 859090891 and 859090900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176540 + ... + 181340.

It is an arithmetic number, because the mean of its divisors is an integer number (39328380).

Almost surely, 2859090940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 859090940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943881120).

859090940 is an abundant number, since it is smaller than the sum of its proper divisors (1028671300).

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

859090940 is a wasteful number, since it uses less digits than its factorization.

859090940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5222 (or 5220 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 44.

The square root of 859090940 is about 29310.2531548262. The cubic root of 859090940 is about 950.6333505142.

The spelling of 859090940 in words is "eight hundred fifty-nine million, ninety thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 389 460 778 1556 1945 3890 4801 7780 8947 9602 17894 19204 24005 35788 44735 48010 89470 96020 110423 178940 220846 441692 552115 1104230 1867589 2208460 3735178 7470356 9337945 18675890 37351780 42954547 85909094 171818188 214772735 429545470 859090940