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19934838 = 23271119757
BaseRepresentation
bin100110000001…
…0111001110110
31101111210110100
41030002321312
520100403323
61551134530
7331305030
oct114027166
941453410
1019934838
1110286380
126814446
13418c881
14290cc50
151b3b943
hex1302e76

19934838 has 96 divisors (see below), whose sum is σ = 56759040. Its totient is φ = 4898880.

The previous prime is 19934833. The next prime is 19934839. The reversal of 19934838 is 83843991.

It is a junction number, because it is equal to n+sod(n) for n = 19934793 and 19934802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19934833) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25956 + ... + 26712.

It is an arithmetic number, because the mean of its divisors is an integer number (591240).

Almost surely, 219934838 is an apocalyptic number.

19934838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19934838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28379520).

19934838 is an abundant number, since it is smaller than the sum of its proper divisors (36824202).

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

19934838 is a wasteful number, since it uses less digits than its factorization.

19934838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 799 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 19934838 is about 4464.8446781495. The cubic root of 19934838 is about 271.1466461205.

The spelling of 19934838 in words is "nineteen million, nine hundred thirty-four thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 7 9 11 14 18 19 21 22 33 38 42 57 63 66 77 99 114 126 133 154 171 198 209 231 266 342 399 418 462 627 693 757 798 1197 1254 1386 1463 1514 1881 2271 2394 2926 3762 4389 4542 5299 6813 8327 8778 10598 13167 13626 14383 15897 16654 24981 26334 28766 31794 43149 47691 49962 58289 74943 86298 95382 100681 116578 129447 149886 158213 174867 201362 258894 302043 316426 349734 474639 524601 604086 906129 949278 1049202 1107491 1423917 1812258 2214982 2847834 3322473 6644946 9967419 19934838