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18842472 = 23321137643
BaseRepresentation
bin100011111100…
…0001101101000
31022110022000100
41013320031220
514310424342
61511505400
7316105215
oct107701550
938408010
1018842472
11a6aa6a0
126388260
133b995bc
142706b0c
1519c2e4c
hex11f8368

18842472 has 96 divisors (see below), whose sum is σ = 57264480. Its totient is φ = 5546880.

The previous prime is 18842437. The next prime is 18842491. The reversal of 18842472 is 27424881.

18842472 is a `hidden beast` number, since 188 + 4 + 2 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28983 + ... + 29625.

It is an arithmetic number, because the mean of its divisors is an integer number (596505).

Almost surely, 218842472 is an apocalyptic number.

18842472 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 18842472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28632240).

18842472 is an abundant number, since it is smaller than the sum of its proper divisors (38422008).

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

18842472 is a wasteful number, since it uses less digits than its factorization.

18842472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 696 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 18842472 is about 4340.7916328707. The cubic root of 18842472 is about 266.1006647847.

It can be divided in two parts, 1884 and 2472, that added together give a square (4356 = 662).

The spelling of 18842472 in words is "eighteen million, eight hundred forty-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 37 44 66 72 74 88 99 111 132 148 198 222 264 296 333 396 407 444 643 666 792 814 888 1221 1286 1332 1628 1929 2442 2572 2664 3256 3663 3858 4884 5144 5787 7073 7326 7716 9768 11574 14146 14652 15432 21219 23148 23791 28292 29304 42438 46296 47582 56584 63657 71373 84876 95164 127314 142746 169752 190328 214119 254628 261701 285492 428238 509256 523402 570984 785103 856476 1046804 1570206 1712952 2093608 2355309 3140412 4710618 6280824 9421236 18842472