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18749016 = 23331113607
BaseRepresentation
bin100011110000…
…1011001011000
31022021112211000
41013201121120
514244432031
61505505000
7315235566
oct107413130
938245730
1018749016
11a646460
126342160
133b65bc0
1426c0a36
1519a53e6
hex11e1658

18749016 has 128 divisors (see below), whose sum is σ = 61286400. Its totient is φ = 5235840.

The previous prime is 18749009. The next prime is 18749057. The reversal of 18749016 is 61094781.

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

It is an alternating number because its digits alternate between odd and even.

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 31 ways as a sum of consecutive naturals, for example, 30585 + ... + 31191.

It is an arithmetic number, because the mean of its divisors is an integer number (478800).

Almost surely, 218749016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18749016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30643200).

18749016 is an abundant number, since it is smaller than the sum of its proper divisors (42537384).

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

18749016 is a wasteful number, since it uses less digits than its factorization.

18749016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 18749016 is about 4330.0133948984. The cubic root of 18749016 is about 265.6599948542.

The spelling of 18749016 in words is "eighteen million, seven hundred forty-nine thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 27 33 36 39 44 52 54 66 72 78 88 99 104 108 117 132 143 156 198 216 234 264 286 297 312 351 396 429 468 572 594 607 702 792 858 936 1144 1188 1214 1287 1404 1716 1821 2376 2428 2574 2808 3432 3642 3861 4856 5148 5463 6677 7284 7722 7891 10296 10926 13354 14568 15444 15782 16389 20031 21852 23673 26708 30888 31564 32778 40062 43704 47346 53416 60093 63128 65556 71019 80124 86801 94692 120186 131112 142038 160248 173602 180279 189384 213057 240372 260403 284076 347204 360558 426114 480744 520806 568152 694408 721116 781209 852228 1041612 1442232 1562418 1704456 2083224 2343627 3124836 4687254 6249672 9374508 18749016