Search a number
-
+
19872328 = 237192983
BaseRepresentation
bin100101111001…
…1101001001000
31101101121201011
41023303221020
520041403303
61545533304
7330624550
oct113635110
941347634
1019872328
1110243413
1267a4234
13416a298
1428d4160
151b2816d
hex12f3a48

19872328 has 48 divisors (see below), whose sum is σ = 44988480. Its totient is φ = 8060256.

The previous prime is 19872323. The next prime is 19872329. The reversal of 19872328 is 82327891.

It is not an unprimeable number, because it can be changed into a prime (19872323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19725 + ... + 20707.

It is an arithmetic number, because the mean of its divisors is an integer number (937260).

Almost surely, 219872328 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 19872328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22494240).

19872328 is an abundant number, since it is smaller than the sum of its proper divisors (25116152).

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

19872328 is a wasteful number, since it uses less digits than its factorization.

19872328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 1011 counting only the distinct ones).

The product of its digits is 48384, while the sum is 40.

The square root of 19872328 is about 4457.8389383198. The cubic root of 19872328 is about 270.8629363671.

The spelling of 19872328 in words is "nineteen million, eight hundred seventy-two thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 361 532 722 983 1064 1444 1966 2527 2888 3932 5054 6881 7864 10108 13762 18677 20216 27524 37354 55048 74708 130739 149416 261478 354863 522956 709726 1045912 1419452 2484041 2838904 4968082 9936164 19872328