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802828494 = 2321379137317
BaseRepresentation
bin101111110110100…
…011000011001110
32001221122220122200
4233312203003032
53121011002434
6211355222330
725615633566
oct5766430316
92057586580
10802828494
113821a2a26
121a4a479a6
13ca433460
14788a3da6
154a735199
hex2fda30ce

802828494 has 96 divisors (see below), whose sum is σ = 1916853120. Its totient is φ = 241353216.

The previous prime is 802828493. The next prime is 802828531. The reversal of 802828494 is 494828208.

It is a happy number.

802828494 is a `hidden beast` number, since 80 + 2 + 82 + 8 + 494 = 666.

It is a super-3 number, since 3×8028284943 (a number of 28 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (802828493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2532424 + ... + 2532740.

It is an arithmetic number, because the mean of its divisors is an integer number (19967220).

Almost surely, 2802828494 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 802828494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958426560).

802828494 is an abundant number, since it is smaller than the sum of its proper divisors (1114024626).

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

802828494 is a wasteful number, since it uses less digits than its factorization.

802828494 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 802828494 is about 28334.2283113552. The cubic root of 802828494 is about 929.4105387053.

The spelling of 802828494 in words is "eight hundred two million, eight hundred twenty-eight thousand, four hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 79 117 137 158 234 237 274 317 411 474 634 711 822 951 1027 1233 1422 1781 1902 2054 2466 2853 3081 3562 4121 5343 5706 6162 8242 9243 10686 10823 12363 16029 18486 21646 24726 25043 32058 32469 37089 43429 50086 64938 74178 75129 86858 97407 130287 140699 150258 194814 225387 260574 281398 325559 390861 422097 450774 564577 651118 781722 844194 976677 1129154 1266291 1693731 1953354 2532582 2930031 3387462 3430891 5081193 5860062 6861782 10162386 10292673 20585346 30878019 44601583 61756038 89203166 133804749 267609498 401414247 802828494