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18257442 = 23719137167
BaseRepresentation
bin100010110100…
…1011000100010
31021100120111120
41011221120202
514133214232
61451153110
7311120460
oct105513042
937316446
1018257442
11a3400a5
126145796
133a23228
1425d3830
15190992c
hex1169622

18257442 has 64 divisors (see below), whose sum is σ = 44513280. Its totient is φ = 4876416.

The previous prime is 18257441. The next prime is 18257497. The reversal of 18257442 is 24475281.

It is a super-4 number, since 4×182574424 (a number of 30 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (18257441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109243 + ... + 109409.

It is an arithmetic number, because the mean of its divisors is an integer number (695520).

Almost surely, 218257442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18257442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22256640).

18257442 is an abundant number, since it is smaller than the sum of its proper divisors (26255838).

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

18257442 is a wasteful number, since it uses less digits than its factorization.

18257442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335.

The product of its digits is 17920, while the sum is 33.

The square root of 18257442 is about 4272.8728040980. The cubic root of 18257442 is about 263.3176536445.

The spelling of 18257442 in words is "eighteen million, two hundred fifty-seven thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 137 167 266 274 334 399 411 501 798 822 959 1002 1169 1918 2338 2603 2877 3173 3507 5206 5754 6346 7014 7809 9519 15618 18221 19038 22211 22879 36442 44422 45758 54663 66633 68637 109326 133266 137274 160153 320306 434701 480459 869402 960918 1304103 2608206 3042907 6085814 9128721 18257442