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830285776 = 24292836323
BaseRepresentation
bin110001011111010…
…010011111010000
32010212022212222001
4301133102133100
53200023121101
6214215523344
726401212145
oct6137223720
92125285861
10830285776
11396746aa1
121b2089554
13103027c78
147c3b03cc
154cd5a901
hex317d27d0

830285776 has 40 divisors (see below), whose sum is σ = 1670294880. Its totient is φ = 399348096.

The previous prime is 830285773. The next prime is 830285777. The reversal of 830285776 is 677582038.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830285773) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128151 + ... + 134473.

It is an arithmetic number, because the mean of its divisors is an integer number (41757372).

Almost surely, 2830285776 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 830285776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835147440).

830285776 is an abundant number, since it is smaller than the sum of its proper divisors (840009104).

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

830285776 is a wasteful number, since it uses less digits than its factorization.

830285776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6643 (or 6637 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 46.

The square root of 830285776 is about 28814.6798698164. The cubic root of 830285776 is about 939.8874831372.

It can be divided in two parts, 83028 and 5776, that added together give a square (88804 = 2982).

The spelling of 830285776 in words is "eight hundred thirty million, two hundred eighty-five thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 29 58 116 232 283 464 566 1132 2264 4528 6323 8207 12646 16414 25292 32828 50584 65656 101168 131312 183367 366734 733468 1466936 1789409 2933872 3578818 7157636 14315272 28630544 51892861 103785722 207571444 415142888 830285776