[go: up one dir, main page]

Search a number
-
+
18041628 = 22311314409
BaseRepresentation
bin100010011010…
…0101100011100
31020221121110110
41010310230130
514104313003
61442410020
7306231333
oct104645434
936847413
1018041628
11a202a40
126060910
133978c27
142578d1a
1518b5a03
hex1134b1c

18041628 has 48 divisors (see below), whose sum is σ = 47416320. Its totient is φ = 5289600.

The previous prime is 18041623. The next prime is 18041663. The reversal of 18041628 is 82614081.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 18041595 and 18041604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18041623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1888 + ... + 6296.

It is an arithmetic number, because the mean of its divisors is an integer number (987840).

Almost surely, 218041628 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 18041628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23708160).

18041628 is an abundant number, since it is smaller than the sum of its proper divisors (29374692).

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

18041628 is a wasteful number, since it uses less digits than its factorization.

18041628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4458 (or 4456 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 18041628 is about 4247.5437608105. The cubic root of 18041628 is about 262.2760139201.

The spelling of 18041628 in words is "eighteen million, forty-one thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 682 1023 1364 2046 4092 4409 8818 13227 17636 26454 48499 52908 96998 136679 145497 193996 273358 290994 410037 546716 581988 820074 1503469 1640148 3006938 4510407 6013876 9020814 18041628