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828196038 = 2321715717239
BaseRepresentation
bin110001010111010…
…100010011000110
32010201101201101100
4301113110103012
53144004233123
6214103040530
726344356465
oct6127242306
92121351340
10828196038
11395549a3a
121b1440146
13102775a37
147bdc89dc
154ca96643
hex315d44c6

828196038 has 48 divisors (see below), whose sum is σ = 1912191840. Its totient is φ = 258156288.

The previous prime is 828196037. The next prime is 828196067. The reversal of 828196038 is 830691828.

828196038 is a `hidden beast` number, since 8 + 28 + 19 + 603 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 828195984 and 828196002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828196037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39423 + ... + 56661.

It is an arithmetic number, because the mean of its divisors is an integer number (39837330).

Almost surely, 2828196038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828196038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956095920).

828196038 is an abundant number, since it is smaller than the sum of its proper divisors (1083995802).

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

828196038 is a wasteful number, since it uses less digits than its factorization.

828196038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17421 (or 17418 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 828196038 is about 28778.3953340001. The cubic root of 828196038 is about 939.0982895135.

The spelling of 828196038 in words is "eight hundred twenty-eight million, one hundred ninety-six thousand, thirty-eight".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 157 306 314 471 942 1413 2669 2826 5338 8007 16014 17239 24021 34478 48042 51717 103434 155151 293063 310302 586126 879189 1758378 2637567 2706523 5275134 5413046 8119569 16239138 24358707 46010891 48717414 92021782 138032673 276065346 414098019 828196038