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850123428 = 2237111914817
BaseRepresentation
bin110010101010111…
…101101010100100
32012020122202002220
4302222331222210
53220112422203
6220205032340
730031633650
oct6252755244
92166582086
10850123428
113a6966350
121b88556b0
1310718251b
1480c95a60
154e978653
hex32abdaa4

850123428 has 96 divisors (see below), whose sum is σ = 2486550528. Its totient is φ = 219609600.

The previous prime is 850123427. The next prime is 850123481. The reversal of 850123428 is 824321058.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (850123427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174076 + ... + 178892.

It is an arithmetic number, because the mean of its divisors is an integer number (25901568).

Almost surely, 2850123428 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 850123428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243275264).

850123428 is an abundant number, since it is smaller than the sum of its proper divisors (1636427100).

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

850123428 is a wasteful number, since it uses less digits than its factorization.

850123428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5033 (or 5031 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 850123428 is about 29156.8761701249. The cubic root of 850123428 is about 947.3140857213.

The spelling of 850123428 in words is "eight hundred fifty million, one hundred twenty-three thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 191 231 308 382 462 573 764 924 1146 1337 2101 2292 2674 4011 4202 4817 5348 6303 8022 8404 9634 12606 14451 14707 16044 19268 25212 28902 29414 33719 44121 52987 57804 58828 67438 88242 101157 105974 134876 158961 176484 202314 211948 317922 370909 404628 635844 741818 920047 1112727 1483636 1840094 2225454 2760141 3680188 4450908 5520282 6440329 10120517 11040564 12880658 19320987 20241034 25761316 30361551 38641974 40482068 60723102 70843619 77283948 121446204 141687238 212530857 283374476 425061714 850123428