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19338672 = 2431013989
BaseRepresentation
bin100100111000…
…1010110110000
31100101111200010
41021301112300
514422314142
61530254520
7323242653
oct111612660
940344603
1019338672
11aa09481
126587440
134011402
1427d589a
151a6ee9c
hex12715b0

19338672 has 40 divisors (see below), whose sum is σ = 50465520. Its totient is φ = 6380800.

The previous prime is 19338661. The next prime is 19338677. The reversal of 19338672 is 27683391.

It is a self number, because there is not a number n which added to its sum of digits gives 19338672.

It is not an unprimeable number, because it can be changed into a prime (19338677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2854 + ... + 6842.

It is an arithmetic number, because the mean of its divisors is an integer number (1261638).

Almost surely, 219338672 is an apocalyptic number.

19338672 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 19338672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25232760).

19338672 is an abundant number, since it is smaller than the sum of its proper divisors (31126848).

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

19338672 is a wasteful number, since it uses less digits than its factorization.

19338672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4101 (or 4095 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 19338672 is about 4397.5756957669. The cubic root of 19338672 is about 268.4162981331.

The spelling of 19338672 in words is "nineteen million, three hundred thirty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 303 404 606 808 1212 1616 2424 3989 4848 7978 11967 15956 23934 31912 47868 63824 95736 191472 402889 805778 1208667 1611556 2417334 3223112 4834668 6446224 9669336 19338672