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18828936 = 233472593
BaseRepresentation
bin100011111010…
…0111010001000
31022102121110000
41013310322020
514310011221
61511323000
7316020600
oct107647210
938377400
1018828936
11a6a0505
126380460
133b933a9
142701c00
1519bde26
hex11f4e88

18828936 has 120 divisors (see below), whose sum is σ = 61452270. Its totient is φ = 5370624.

The previous prime is 18828923. The next prime is 18828937. The reversal of 18828936 is 63982881.

It can be written as a sum of positive squares in only one way, i.e., 15256836 + 3572100 = 3906^2 + 1890^2 .

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 18828891 and 18828900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18828937) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 31456 + ... + 32048.

Almost surely, 218828936 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 18828936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30726135).

18828936 is an abundant number, since it is smaller than the sum of its proper divisors (42623334).

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

18828936 is a wasteful number, since it uses less digits than its factorization.

18828936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 605 counting only the distinct ones).

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

The square root of 18828936 is about 4339.2321901461. The cubic root of 18828936 is about 266.0369293142.

The spelling of 18828936 in words is "eighteen million, eight hundred twenty-eight thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 252 294 324 378 392 441 504 567 588 593 648 756 882 1134 1176 1186 1323 1512 1764 1779 2268 2372 2646 3528 3558 3969 4151 4536 4744 5292 5337 7116 7938 8302 10584 10674 12453 14232 15876 16011 16604 21348 24906 29057 31752 32022 33208 37359 42696 48033 49812 58114 64044 74718 87171 96066 99624 112077 116228 128088 149436 174342 192132 224154 232456 261513 298872 336231 348684 384264 448308 523026 672462 697368 784539 896616 1046052 1344924 1569078 2092104 2353617 2689848 3138156 4707234 6276312 9414468 18828936