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19814382 = 2347101173
BaseRepresentation
bin100101110010…
…1011111101110
31101021200020000
41023211133232
520033030012
61544405130
7330263610
oct113453756
941250200
1019814382
1110203925
1267767a6
134149ab3
1428badb0
151b15ddc
hex12e57ee

19814382 has 80 divisors (see below), whose sum is σ = 51540192. Its totient is φ = 5572800.

The previous prime is 19814381. The next prime is 19814387. The reversal of 19814382 is 28341891.

It is a super-3 number, since 3×198143823 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19814381) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 114448 + ... + 114620.

Almost surely, 219814382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19814382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25770096).

19814382 is an abundant number, since it is smaller than the sum of its proper divisors (31725810).

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

19814382 is a wasteful number, since it uses less digits than its factorization.

19814382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 286 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 19814382 is about 4451.3348559730. The cubic root of 19814382 is about 270.5994090478.

The spelling of 19814382 in words is "nineteen million, eight hundred fourteen thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 101 126 162 173 189 202 303 346 378 519 567 606 707 909 1038 1134 1211 1414 1557 1818 2121 2422 2727 3114 3633 4242 4671 5454 6363 7266 8181 9342 10899 12726 14013 16362 17473 19089 21798 28026 32697 34946 38178 52419 57267 65394 98091 104838 114534 122311 157257 196182 244622 314514 366933 471771 733866 943542 1100799 1415313 2201598 2830626 3302397 6604794 9907191 19814382