Search a number
-
+
18112458 = 237313677
BaseRepresentation
bin100010100010…
…1111111001010
31021002012121210
41011011333022
514114044313
61444113550
7306645000
oct105057712
937065553
1018112458
11a251181
1260958b6
1339a2240
142596a70
1518cb9c3
hex1145fca

18112458 has 64 divisors (see below), whose sum is σ = 45561600. Its totient is φ = 4769856.

The previous prime is 18112441. The next prime is 18112459. The reversal of 18112458 is 85421181.

It is a happy number.

It is a super-2 number, since 2×181124582 = 656122269603528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18112459) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 26416 + ... + 27092.

It is an arithmetic number, because the mean of its divisors is an integer number (711900).

Almost surely, 218112458 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18112458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22780800).

18112458 is an abundant number, since it is smaller than the sum of its proper divisors (27449142).

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

18112458 is a wasteful number, since it uses less digits than its factorization.

18112458 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 702 counting only the distinct ones).

The product of its digits is 2560, while the sum is 30.

The square root of 18112458 is about 4255.8733533788. The cubic root of 18112458 is about 262.6187906793.

The spelling of 18112458 in words is "eighteen million, one hundred twelve thousand, four hundred fifty-eight".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 273 294 343 546 637 677 686 1029 1274 1354 1911 2031 2058 3822 4062 4459 4739 8801 8918 9478 13377 14217 17602 26403 26754 28434 33173 52806 61607 66346 99519 123214 184821 199038 232211 369642 431249 464422 696633 862498 1293747 1393266 2587494 3018743 6037486 9056229 18112458