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18042192 = 2432722557
BaseRepresentation
bin100010011010…
…0110101010000
31020221122020100
41010310311100
514104322232
61442412400
7306233100
oct104646520
936848210
1018042192
11a203403
126061100
13397926c
142579200
1518b5c7c
hex1134d50

18042192 has 90 divisors (see below), whose sum is σ = 58759818. Its totient is φ = 5152896.

The previous prime is 18042181. The next prime is 18042197. The reversal of 18042192 is 29124081.

It can be written as a sum of positive squares in only one way, i.e., 14930496 + 3111696 = 3864^2 + 1764^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18042197) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5778 + ... + 8334.

Almost surely, 218042192 is an apocalyptic number.

18042192 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 18042192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29379909).

18042192 is an abundant number, since it is smaller than the sum of its proper divisors (40717626).

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

18042192 is a wasteful number, since it uses less digits than its factorization.

18042192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2585 (or 2569 counting only the distinct ones).

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

The square root of 18042192 is about 4247.6101516029. The cubic root of 18042192 is about 262.2787468984.

The spelling of 18042192 in words is "eighteen million, forty-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 2557 3528 5114 7056 7671 10228 15342 17899 20456 23013 30684 35798 40912 46026 53697 61368 71596 92052 107394 122736 125293 143192 161091 184104 214788 250586 286384 322182 368208 375879 429576 501172 644364 751758 859152 1002344 1127637 1288728 1503516 2004688 2255274 2577456 3007032 4510548 6014064 9021096 18042192