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18793944 = 2334132397
BaseRepresentation
bin100011110110…
…0010111011000
31022100211110000
41013230113120
514302401234
61510453000
7315513561
oct107542730
938324400
1018793944
11a677194
126364160
133b804a0
1426d3168
1519b3899
hex11ec5d8

18793944 has 160 divisors (see below), whose sum is σ = 59764320. Its totient is φ = 5474304.

The previous prime is 18793933. The next prime is 18793961. The reversal of 18793944 is 44939781.

It is a self number, because there is not a number n which added to its sum of digits gives 18793944.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 193704 + ... + 193800.

It is an arithmetic number, because the mean of its divisors is an integer number (373527).

Almost surely, 218793944 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 18793944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29882160).

18793944 is an abundant number, since it is smaller than the sum of its proper divisors (40970376).

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

18793944 is a wasteful number, since it uses less digits than its factorization.

18793944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 138 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 18793944 is about 4335.1982653623. The cubic root of 18793944 is about 265.8720246702.

The spelling of 18793944 in words is "eighteen million, seven hundred ninety-three thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 23 24 26 27 36 39 46 52 54 69 72 78 81 92 97 104 108 117 138 156 162 184 194 207 216 234 276 291 299 312 324 351 388 414 468 552 582 598 621 648 702 776 828 873 897 936 1053 1164 1196 1242 1261 1404 1656 1746 1794 1863 2106 2231 2328 2392 2484 2522 2619 2691 2808 3492 3588 3726 3783 4212 4462 4968 5044 5238 5382 6693 6984 7176 7452 7566 7857 8073 8424 8924 10088 10476 10764 11349 13386 14904 15132 15714 16146 17848 20079 20952 21528 22698 24219 26772 29003 30264 31428 32292 34047 40158 45396 48438 53544 58006 60237 62856 64584 68094 80316 87009 90792 96876 102141 116012 120474 136188 160632 174018 180711 193752 204282 232024 240948 261027 272376 348036 361422 408564 481896 522054 696072 722844 783081 817128 1044108 1445688 1566162 2088216 2349243 3132324 4698486 6264648 9396972 18793944