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18104292 = 223273832
BaseRepresentation
bin100010100001…
…1111111100100
31021001210102100
41011003333210
514113314132
61444012100
7306612123
oct105037744
937053370
1018104292
11a246028
126091030
13399b5cb
142593aba
1518c937c
hex1143fe4

18104292 has 54 divisors (see below), whose sum is σ = 46956182. Its totient is φ = 5880384.

The previous prime is 18104287. The next prime is 18104347. The reversal of 18104292 is 29240181.

It can be written as a sum of positive squares in only one way, i.e., 15872256 + 2232036 = 3984^2 + 1494^2 .

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 17 ways as a sum of consecutive naturals, for example, 218083 + ... + 218165.

Almost surely, 218104292 is an apocalyptic number.

18104292 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 18104292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23478091).

18104292 is an abundant number, since it is smaller than the sum of its proper divisors (28851890).

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

18104292 is a wasteful number, since it uses less digits than its factorization.

18104292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 18104292 is about 4254.9138651681. The cubic root of 18104292 is about 262.5793175274.

The spelling of 18104292 in words is "eighteen million, one hundred four thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 73 83 146 166 219 249 292 332 438 498 657 747 876 996 1314 1494 2628 2988 6059 6889 12118 13778 18177 20667 24236 27556 36354 41334 54531 62001 72708 82668 109062 124002 218124 248004 502897 1005794 1508691 2011588 3017382 4526073 6034764 9052146 18104292