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19938282 = 237132532
BaseRepresentation
bin100110000001…
…1101111101010
31101111222011220
41030003233222
520101011112
61551202510
7331321050
oct114035752
941458156
1019938282
1110288a21
126816436
134191300
1429101d0
151b3c98c
hex1303bea

19938282 has 72 divisors (see below), whose sum is σ = 50297184. Its totient is φ = 5159232.

The previous prime is 19938241. The next prime is 19938287. The reversal of 19938282 is 28283991.

It is a super-2 number, since 2×199382822 = 795070178223048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (62208) is a multiple of the sum of its prime factors (144).

It is not an unprimeable number, because it can be changed into a prime (19938287) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 376168 + ... + 376220.

It is an arithmetic number, because the mean of its divisors is an integer number (698572).

Almost surely, 219938282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19938282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25148592).

19938282 is an abundant number, since it is smaller than the sum of its proper divisors (30358902).

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

19938282 is a wasteful number, since it uses less digits than its factorization.

19938282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 78 counting only the distinct ones).

The product of its digits is 62208, while the sum is 42.

The square root of 19938282 is about 4465.2303412030. The cubic root of 19938282 is about 271.1622599131.

Multiplying 19938282 by its sum of digits (42), we get a square (837407844 = 289382).

19938282 divided by its sum of digits (42) gives a square (474721 = 6892).

The spelling of 19938282 in words is "nineteen million, nine hundred thirty-eight thousand, two hundred eighty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 53 78 91 106 159 169 182 273 318 338 371 507 546 689 742 1014 1113 1183 1378 2067 2226 2366 2809 3549 4134 4823 5618 7098 8427 8957 9646 14469 16854 17914 19663 26871 28938 36517 39326 53742 58989 62699 73034 109551 117978 125398 188097 219102 255619 376194 474721 511238 766857 949442 1424163 1533714 2848326 3323047 6646094 9969141 19938282