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19918872 = 233459521
BaseRepresentation
bin100101111111…
…1000000011000
31101110222120000
41023333000120
520044400442
61550533000
7331210341
oct113770030
941428500
1019918872
1110275386
126807160
13418551c
1429070c8
151b36d4c
hex12ff018

19918872 has 80 divisors (see below), whose sum is σ = 56845800. Its totient is φ = 6514560.

The previous prime is 19918753. The next prime is 19918901. The reversal of 19918872 is 27881991.

It is a super-2 number, since 2×199188722 = 793522923504768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 37972 + ... + 38492.

Almost surely, 219918872 is an apocalyptic number.

19918872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19918872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28422900).

19918872 is an abundant number, since it is smaller than the sum of its proper divisors (36926928).

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

19918872 is a wasteful number, since it uses less digits than its factorization.

19918872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 585 counting only the distinct ones).

The product of its digits is 72576, while the sum is 45.

The square root of 19918872 is about 4463.0563518737. The cubic root of 19918872 is about 271.0742388167.

The spelling of 19918872 in words is "nineteen million, nine hundred eighteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 59 72 81 108 118 162 177 216 236 324 354 472 521 531 648 708 1042 1062 1416 1563 1593 2084 2124 3126 3186 4168 4248 4689 4779 6252 6372 9378 9558 12504 12744 14067 18756 19116 28134 30739 37512 38232 42201 56268 61478 84402 92217 112536 122956 168804 184434 245912 276651 337608 368868 553302 737736 829953 1106604 1659906 2213208 2489859 3319812 4979718 6639624 9959436 19918872