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18363728 = 2419292083
BaseRepresentation
bin100011000001…
…1010101010000
31021112222022002
41012003111100
514200114403
61453333132
7312042365
oct106032520
937488262
1018363728
11a402a39
1261971a8
133a5c716
14262046c
15192b188
hex1183550

18363728 has 40 divisors (see below), whose sum is σ = 38762400. Its totient is φ = 8394624.

The previous prime is 18363727. The next prime is 18363731. The reversal of 18363728 is 82736381.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 18363691 and 18363700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18363721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7775 + ... + 9857.

It is an arithmetic number, because the mean of its divisors is an integer number (969060).

Almost surely, 218363728 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 18363728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19381200).

18363728 is an abundant number, since it is smaller than the sum of its proper divisors (20398672).

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

18363728 is a wasteful number, since it uses less digits than its factorization.

18363728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2139 (or 2133 counting only the distinct ones).

The product of its digits is 48384, while the sum is 38.

The square root of 18363728 is about 4285.2920553913. The cubic root of 18363728 is about 263.8276346560.

It can be divided in two parts, 18363 and 728, that added together give a palindrome (19091).

The spelling of 18363728 in words is "eighteen million, three hundred sixty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 19 29 38 58 76 116 152 232 304 464 551 1102 2083 2204 4166 4408 8332 8816 16664 33328 39577 60407 79154 120814 158308 241628 316616 483256 633232 966512 1147733 2295466 4590932 9181864 18363728