[go: up one dir, main page]

Search a number
-
+
18008032 = 257174729
BaseRepresentation
bin100010010110…
…0011111100000
31020212220101011
41010230133200
514102224112
61441550304
7306031360
oct104543740
936786334
1018008032
11a18a779
126045394
133966853
14256a9a0
1518aaaa7
hex112c7e0

18008032 has 48 divisors (see below), whose sum is σ = 42910560. Its totient is φ = 7262208.

The previous prime is 18008027. The next prime is 18008033. The reversal of 18008032 is 23080081.

It is a junction number, because it is equal to n+sod(n) for n = 18007994 and 18008012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18008033) 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 7 ways as a sum of consecutive naturals, for example, 1444 + ... + 6172.

It is an arithmetic number, because the mean of its divisors is an integer number (893970).

Almost surely, 218008032 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 18008032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21455280).

18008032 is an abundant number, since it is smaller than the sum of its proper divisors (24902528).

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

18008032 is a wasteful number, since it uses less digits than its factorization.

18008032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4763 (or 4755 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 18008032 is about 4243.5871618243. The cubic root of 18008032 is about 262.1131147259.

The spelling of 18008032 in words is "eighteen million, eight thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 952 1904 3808 4729 9458 18916 33103 37832 66206 75664 80393 132412 151328 160786 264824 321572 529648 562751 643144 1059296 1125502 1286288 2251004 2572576 4502008 9004016 18008032