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18827172 = 22327213821
BaseRepresentation
bin100011111010…
…0011110100100
31022102112000200
41013310132210
514304432142
61511310500
7316012500
oct107643644
938375020
1018827172
11a69a151
12637b430
133b92650
142701300
1519bd64c
hex11f47a4

18827172 has 108 divisors (see below), whose sum is σ = 59691996. Its totient is φ = 4959360.

The previous prime is 18827167. The next prime is 18827197. The reversal of 18827172 is 27172881.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3896676 + 14930496 = 1974^2 + 3864^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22522 + ... + 23342.

Almost surely, 218827172 is an apocalyptic number.

18827172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18827172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29845998).

18827172 is an abundant number, since it is smaller than the sum of its proper divisors (40864824).

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

18827172 is a wasteful number, since it uses less digits than its factorization.

18827172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 846 counting only the distinct ones).

The product of its digits is 12544, while the sum is 36.

The square root of 18827172 is about 4339.0289236187. The cubic root of 18827172 is about 266.0286211124.

The spelling of 18827172 in words is "eighteen million, eight hundred twenty-seven thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 49 52 63 78 84 91 98 117 126 147 156 182 196 234 252 273 294 364 441 468 546 588 637 819 821 882 1092 1274 1638 1642 1764 1911 2463 2548 3276 3284 3822 4926 5733 5747 7389 7644 9852 10673 11466 11494 14778 17241 21346 22932 22988 29556 32019 34482 40229 42692 51723 64038 68964 74711 80458 96057 103446 120687 128076 149422 160916 192114 206892 224133 241374 298844 362061 384228 448266 482748 522977 672399 724122 896532 1045954 1344798 1448244 1568931 2091908 2689596 3137862 4706793 6275724 9413586 18827172