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18286016 = 267517
BaseRepresentation
bin100010111000…
…0010111000000
31021102000200212
41011300113000
514140123031
61451533252
7311300000
oct105602700
937360625
1018286016
11a35a611
12615a228
133a33238
142600000
15191312b
hex11705c0

18286016 has 84 divisors (see below), whose sum is σ = 44823888. Its totient is φ = 7375872.

The previous prime is 18286003. The next prime is 18286039. The reversal of 18286016 is 61068281.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1075640 + ... + 1075656.

Almost surely, 218286016 is an apocalyptic number.

18286016 is a gapful number since it is divisible by the number (16) 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 18286016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22411944).

18286016 is an abundant number, since it is smaller than the sum of its proper divisors (26537872).

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

18286016 is an frugal number, since it uses more digits than its factorization.

18286016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 18286016 is about 4276.2151489372. The cubic root of 18286016 is about 263.4549513896.

The spelling of 18286016 in words is "eighteen million, two hundred eighty-six thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 64 68 98 112 119 136 196 224 238 272 343 392 448 476 544 686 784 833 952 1088 1372 1568 1666 1904 2401 2744 3136 3332 3808 4802 5488 5831 6664 7616 9604 10976 11662 13328 16807 19208 21952 23324 26656 33614 38416 40817 46648 53312 67228 76832 81634 93296 134456 153664 163268 186592 268912 285719 326536 373184 537824 571438 653072 1075648 1142876 1306144 2285752 2612288 4571504 9143008 18286016