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850285452 = 223293497001
BaseRepresentation
bin110010101011100…
…101001110001100
32012020221222100210
4302223211032030
53220133113302
6220212322420
730033210222
oct6253451614
92166858323
10850285452
113a6a67055
121b8913410
1310720b1b3
1480cd8b12
154e9ab66c
hex32ae538c

850285452 has 48 divisors (see below), whose sum is σ = 2058588000. Its totient is φ = 272832000.

The previous prime is 850285427. The next prime is 850285523. The reversal of 850285452 is 254582058.

850285452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 850285452.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117952 + ... + 124952.

It is an arithmetic number, because the mean of its divisors is an integer number (42887250).

Almost surely, 2850285452 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 850285452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029294000).

850285452 is an abundant number, since it is smaller than the sum of its proper divisors (1208302548).

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

850285452 is a wasteful number, since it uses less digits than its factorization.

850285452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7386 (or 7384 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 39.

The square root of 850285452 is about 29159.6545247024. The cubic root of 850285452 is about 947.3742643818.

The spelling of 850285452 in words is "eight hundred fifty million, two hundred eighty-five thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 349 698 1047 1396 2094 4188 7001 10121 14002 20242 21003 28004 30363 40484 42006 60726 84012 121452 203029 406058 609087 812116 1218174 2436348 2443349 4886698 7330047 9773396 14660094 29320188 70857121 141714242 212571363 283428484 425142726 850285452