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18450828 = 22341131167
BaseRepresentation
bin100011001100…
…0100110001100
31021201101210000
41012120212030
514210411303
61455244300
7312554334
oct106304614
937641700
1018450828
11a462420
126219690
133a90266
1426440c4
151946da3
hex119898c

18450828 has 120 divisors (see below), whose sum is σ = 54641664. Its totient is φ = 5378400.

The previous prime is 18450811. The next prime is 18450829. The reversal of 18450828 is 82805481.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 18450792 and 18450801.

It is not an unprimeable number, because it can be changed into a prime (18450829) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 110401 + ... + 110567.

Almost surely, 218450828 is an apocalyptic number.

18450828 is a gapful number since it is divisible by the number (18) 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 18450828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27320832).

18450828 is an abundant number, since it is smaller than the sum of its proper divisors (36190836).

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

18450828 is a wasteful number, since it uses less digits than its factorization.

18450828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 18450828 is about 4295.4427012824. The cubic root of 18450828 is about 264.2440924262.

The spelling of 18450828 in words is "eighteen million, four hundred fifty thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 31 33 36 44 54 62 66 81 93 99 108 124 132 162 167 186 198 279 297 324 334 341 372 396 501 558 594 668 682 837 891 1002 1023 1116 1188 1364 1503 1674 1782 1837 2004 2046 2511 3006 3069 3348 3564 3674 4092 4509 5022 5177 5511 6012 6138 7348 9018 9207 10044 10354 11022 12276 13527 15531 16533 18036 18414 20708 22044 27054 27621 31062 33066 36828 46593 49599 54108 55242 56947 62124 66132 93186 99198 110484 113894 139779 148797 170841 186372 198396 227788 279558 297594 341682 419337 512523 559116 595188 683364 838674 1025046 1537569 1677348 2050092 3075138 4612707 6150276 9225414 18450828