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833028 = 223747211
BaseRepresentation
bin11001011011000000100
31120022200220
43023120010
5203124103
625504340
710036440
oct3133004
91508626
10833028
11519959
123420b0
13232221
14179820
15116c53
hexcb604

833028 has 48 divisors (see below), whose sum is σ = 2279424. Its totient is φ = 231840.

The previous prime is 833023. The next prime is 833033. The reversal of 833028 is 820338.

It is an interprime number because it is at equal distance from previous prime (833023) and next prime (833033).

It is a junction number, because it is equal to n+sod(n) for n = 832989 and 833007.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 833028.

It is not an unprimeable number, because it can be changed into a prime (833023) by changing a digit.

833028 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3843 + ... + 4053.

It is an arithmetic number, because the mean of its divisors is an integer number (47488).

2833028 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 833028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139712).

833028 is an abundant number, since it is smaller than the sum of its proper divisors (1446396).

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

833028 is a wasteful number, since it uses less digits than its factorization.

833028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 833028 is about 912.7036758992. The cubic root of 833028 is about 94.0921082974.

The spelling of 833028 in words is "eight hundred thirty-three thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 84 94 141 188 211 282 329 422 564 633 658 844 987 1266 1316 1477 1974 2532 2954 3948 4431 5908 8862 9917 17724 19834 29751 39668 59502 69419 119004 138838 208257 277676 416514 833028