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830648 = 237213163
BaseRepresentation
bin11001010110010111000
31120012102202
43022302320
5203040043
625445332
710026500
oct3126270
91505382
10830648
11518095
12340848
13231110
14178a00
151161b8
hexcacb8

830648 has 48 divisors (see below), whose sum is σ = 1963080. Its totient is φ = 326592.

The previous prime is 830639. The next prime is 830657. The reversal of 830648 is 846038.

830648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (830639) and next prime (830657).

It is a self number, because there is not a number n which added to its sum of digits gives 830648.

It is a congruent number.

It is an unprimeable number.

830648 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 11 ways as a sum of consecutive naturals, for example, 5015 + ... + 5177.

2830648 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 830648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981540).

830648 is an abundant number, since it is smaller than the sum of its proper divisors (1132432).

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

830648 is a wasteful number, since it uses less digits than its factorization.

830648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 830648 is about 911.3989247305. The cubic root of 830648 is about 94.0024143035.

The spelling of 830648 in words is "eight hundred thirty thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 163 182 196 326 364 392 637 652 728 1141 1274 1304 2119 2282 2548 4238 4564 5096 7987 8476 9128 14833 15974 16952 29666 31948 59332 63896 103831 118664 207662 415324 830648