Search a number
-
+
18434592 = 2532112232
BaseRepresentation
bin100011001010…
…0101000100000
31021200120111200
41012110220200
514204401332
61455041200
7312456111
oct106245040
937616450
1018434592
11a451200
126210200
133a85a57
14263c208
15194217c
hex1194a20

18434592 has 162 divisors, whose sum is σ = 60236631. Its totient is φ = 5343360.

The previous prime is 18434567. The next prime is 18434639. The reversal of 18434592 is 29543481.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 9217296 + 9217296 = 3036^2 + 3036^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=3036.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 801493 + ... + 801515.

Almost surely, 218434592 is an apocalyptic number.

18434592 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 18434592

18434592 is an abundant number, since it is smaller than the sum of its proper divisors (41802039).

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

18434592 is a wasteful number, since it uses less digits than its factorization.

18434592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 39 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 18434592 is about 4293.5523753647. The cubic root of 18434592 is about 264.1665615584.

Subtracting 18434592 from its reverse (29543481), we obtain a square (11108889 = 33332).

The spelling of 18434592 in words is "eighteen million, four hundred thirty-four thousand, five hundred ninety-two".