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828072102 = 2311138831093
BaseRepresentation
bin110001010110110…
…110000010100110
32010201011102101010
4301112312002212
53143441301402
6214100243050
726343332244
oct6126660246
92121142333
10828072102
11395474910
121b13a0486
131027314c0
147bd95794
154ca6ea6c
hex315b60a6

828072102 has 64 divisors (see below), whose sum is σ = 1949665536. Its totient is φ = 231154560.

The previous prime is 828072101. The next prime is 828072103. The reversal of 828072102 is 201270828.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (828072101) and next prime (828072103).

It is a super-2 number, since 2×8280721022 = 1371406812221396808, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 828072102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828072101) 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, 757068 + ... + 758160.

It is an arithmetic number, because the mean of its divisors is an integer number (30463524).

Almost surely, 2828072102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828072102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974832768).

828072102 is an abundant number, since it is smaller than the sum of its proper divisors (1121593434).

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

828072102 is a wasteful number, since it uses less digits than its factorization.

828072102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2005.

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 828072102 is about 28776.2419714597. The cubic root of 828072102 is about 939.0514431606.

The spelling of 828072102 in words is "eight hundred twenty-eight million, seventy-two thousand, one hundred two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 286 429 858 883 1093 1766 2186 2649 3279 5298 6558 9713 11479 12023 14209 19426 22958 24046 28418 29139 34437 36069 42627 58278 68874 72138 85254 126269 156299 252538 312598 378807 468897 757614 937794 965119 1930238 2895357 5790714 10616309 12546547 21232618 25093094 31848927 37639641 63697854 75279282 138012017 276024034 414036051 828072102