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850213950 = 235221126863
BaseRepresentation
bin110010101011010…
…011110000111110
32012020211100021120
4302223103300332
53220123321300
6220211011410
730032461605
oct6253236076
92166740246
10850213950
113a6a18363
121b8899b66
131071b47a1
1480cbaa3c
154e9953a0
hex32ad3c3e

850213950 has 48 divisors (see below), whose sum is σ = 2118602496. Its totient is φ = 225640800.

The previous prime is 850213943. The next prime is 850213951. The reversal of 850213950 is 59312058.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (850213951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18219 + ... + 45081.

It is an arithmetic number, because the mean of its divisors is an integer number (44137552).

Almost surely, 2850213950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 850213950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059301248).

850213950 is an abundant number, since it is smaller than the sum of its proper divisors (1268388546).

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

850213950 is a wasteful number, since it uses less digits than its factorization.

850213950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27089 (or 27084 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 850213950 is about 29158.4284555941. The cubic root of 850213950 is about 947.3477081810.

The spelling of 850213950 in words is "eight hundred fifty million, two hundred thirteen thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 211 422 633 1055 1266 2110 3165 5275 6330 10550 15825 26863 31650 53726 80589 134315 161178 268630 402945 671575 805890 1343150 2014725 4029450 5668093 11336186 17004279 28340465 34008558 56680930 85021395 141702325 170042790 283404650 425106975 850213950