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850884340 = 225175574493
BaseRepresentation
bin110010101101110…
…111011011110100
32012022002101212211
4302231313123310
53220311244330
6220233223204
730041253235
oct6255673364
92168071784
10850884340
113a7335aa9
121b8b61b04
1310738a977
148101308c
154ea78d2a
hex32b776f4

850884340 has 48 divisors (see below), whose sum is σ = 1895784912. Its totient is φ = 319686656.

The previous prime is 850884337. The next prime is 850884341. The reversal of 850884340 is 43488058.

It can be written as a sum of positive squares in 8 ways, for example, as 32695524 + 818188816 = 5718^2 + 28604^2 .

It is a junction number, because it is equal to n+sod(n) for n = 850884293 and 850884302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (850884341) by changing a digit.

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, 187134 + ... + 191626.

It is an arithmetic number, because the mean of its divisors is an integer number (39495519).

Almost surely, 2850884340 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 850884340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947892456).

850884340 is an abundant number, since it is smaller than the sum of its proper divisors (1044900572).

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

850884340 is a wasteful number, since it uses less digits than its factorization.

850884340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5076 (or 5074 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The square root of 850884340 is about 29169.9218373996. The cubic root of 850884340 is about 947.5966359482.

The spelling of 850884340 in words is "eight hundred fifty million, eight hundred eighty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 557 1114 2228 2785 4493 5570 8986 9469 11140 17972 18938 22465 37876 44930 47345 76381 89860 94690 152762 189380 305524 381905 763810 1527620 2502601 5005202 10010404 12513005 25026010 42544217 50052020 85088434 170176868 212721085 425442170 850884340