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18245024 = 257471733
BaseRepresentation
bin100010110011…
…0010110100000
31021022221110122
41011212112200
514132320044
61451015412
7311036330
oct105462640
937287418
1018245024
11a331836
12613a568
133a1a695
1425cd0c0
151905dee
hex11665a0

18245024 has 48 divisors (see below), whose sum is σ = 41948928. Its totient is φ = 7648512.

The previous prime is 18245023. The next prime is 18245047. The reversal of 18245024 is 42054281.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 18244984 and 18245002.

It is not an unprimeable number, because it can be changed into a prime (18245023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9662 + ... + 11394.

It is an arithmetic number, because the mean of its divisors is an integer number (873936).

Almost surely, 218245024 is an apocalyptic number.

18245024 is a gapful number since it is divisible by the number (14) 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 18245024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20974464).

18245024 is an abundant number, since it is smaller than the sum of its proper divisors (23703904).

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

18245024 is a wasteful number, since it uses less digits than its factorization.

18245024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The square root of 18245024 is about 4271.4194362062. The cubic root of 18245024 is about 263.2579406382.

The spelling of 18245024 in words is "eighteen million, two hundred forty-five thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 94 112 188 224 329 376 658 752 1316 1504 1733 2632 3466 5264 6932 10528 12131 13864 24262 27728 48524 55456 81451 97048 162902 194096 325804 388192 570157 651608 1140314 1303216 2280628 2606432 4561256 9122512 18245024