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18843072 = 2631723251
BaseRepresentation
bin100011111100…
…0010111000000
31022110022211120
41013320113000
514310434242
61511512240
7316110033
oct107702700
938408746
1018843072
11a700096
126388680
133b99961
14270701a
1519c31ec
hex11f85c0

18843072 has 112 divisors (see below), whose sum is σ = 55302912. Its totient is φ = 5632000.

The previous prime is 18843061. The next prime is 18843091. The reversal of 18843072 is 27034881.

It is a super-2 number, since 2×188430722 = 710122724794368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 74947 + ... + 75197.

It is an arithmetic number, because the mean of its divisors is an integer number (493776).

Almost surely, 218843072 is an apocalyptic number.

18843072 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 18843072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27651456).

18843072 is an abundant number, since it is smaller than the sum of its proper divisors (36459840).

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

18843072 is a wasteful number, since it uses less digits than its factorization.

18843072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 18843072 is about 4340.8607441382. The cubic root of 18843072 is about 266.1034892320.

The spelling of 18843072 in words is "eighteen million, eight hundred forty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 32 34 46 48 51 64 68 69 92 96 102 136 138 184 192 204 251 272 276 368 391 408 502 544 552 736 753 782 816 1004 1088 1104 1173 1472 1506 1564 1632 2008 2208 2346 3012 3128 3264 4016 4267 4416 4692 5773 6024 6256 8032 8534 9384 11546 12048 12512 12801 16064 17068 17319 18768 23092 24096 25024 25602 34136 34638 37536 46184 48192 51204 68272 69276 75072 92368 98141 102408 136544 138552 184736 196282 204816 273088 277104 294423 369472 392564 409632 554208 588846 785128 819264 1108416 1177692 1570256 2355384 3140512 4710768 6281024 9421536 18843072