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18031904 = 251124657
BaseRepresentation
bin100010011001…
…0010100100000
31020221010010022
41010302110200
514104010104
61442253012
7306161102
oct104622440
936833108
1018031904
11a1a6700
126057168
133974687
142575572
1518b2bbe
hex1132520

18031904 has 36 divisors (see below), whose sum is σ = 39029382. Its totient is φ = 8194560.

The previous prime is 18031903. The next prime is 18031907. The reversal of 18031904 is 40913081.

It can be written as a sum of positive squares in only one way, i.e., 17472400 + 559504 = 4180^2 + 748^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (18031903) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1544 + ... + 6200.

Almost surely, 218031904 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 18031904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19514691).

18031904 is an abundant number, since it is smaller than the sum of its proper divisors (20997478).

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

18031904 is a wasteful number, since it uses less digits than its factorization.

18031904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4689 (or 4670 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 18031904 is about 4246.3989449886. The cubic root of 18031904 is about 262.2288853149.

Adding to 18031904 its reverse (40913081), we get a palindrome (58944985).

The spelling of 18031904 in words is "eighteen million, thirty-one thousand, nine hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3872 4657 9314 18628 37256 51227 74512 102454 149024 204908 409816 563497 819632 1126994 1639264 2253988 4507976 9015952 18031904