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19889424 = 2432373733
BaseRepresentation
bin100101111011…
…1110100010000
31101102111011100
41023313310100
520042430144
61550144400
7331025442
oct113676420
941374140
1019889424
1110255245
1267b2100
134174cb9
1428da492
151b2d269
hex12f7d10

19889424 has 60 divisors (see below), whose sum is σ = 57182476. Its totient is φ = 6448896.

The previous prime is 19889417. The next prime is 19889449. The reversal of 19889424 is 42498891.

It can be written as a sum of positive squares in 2 ways, for example, as 14745600 + 5143824 = 3840^2 + 2268^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 19889424.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3462 + ... + 7194.

Almost surely, 219889424 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 19889424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28591238).

19889424 is an abundant number, since it is smaller than the sum of its proper divisors (37293052).

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

19889424 is a wasteful number, since it uses less digits than its factorization.

19889424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3784 (or 3775 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 19889424 is about 4459.7560471398. The cubic root of 19889424 is about 270.9405878210.

The spelling of 19889424 in words is "nineteen million, eight hundred eighty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 3733 5328 7466 11199 14932 22398 29864 33597 44796 59728 67194 89592 134388 138121 179184 268776 276242 414363 537552 552484 828726 1104968 1243089 1657452 2209936 2486178 3314904 4972356 6629808 9944712 19889424