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18294672 = 2431134649
BaseRepresentation
bin100010111001…
…0011110010000
31021102110120110
41011302132100
514140412142
61452041320
7311334144
oct105623620
937373513
1018294672
11a366070
126163240
133a37166
142603224
15191599c
hex1172790

18294672 has 40 divisors (see below), whose sum is σ = 51559200. Its totient is φ = 5543680.

The previous prime is 18294671. The next prime is 18294677. The reversal of 18294672 is 27649281.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 18294672.

It is not an unprimeable number, because it can be changed into a prime (18294671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16797 + ... + 17852.

It is an arithmetic number, because the mean of its divisors is an integer number (1288980).

Almost surely, 218294672 is an apocalyptic number.

18294672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

18294672 is an abundant number, since it is smaller than the sum of its proper divisors (33264528).

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

18294672 is a wasteful number, since it uses less digits than its factorization.

18294672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34671 (or 34665 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 18294672 is about 4277.2271391639. The cubic root of 18294672 is about 263.4965151420.

The spelling of 18294672 in words is "eighteen million, two hundred ninety-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 34649 69298 103947 138596 207894 277192 381139 415788 554384 762278 831576 1143417 1524556 1663152 2286834 3049112 4573668 6098224 9147336 18294672