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19338912 = 2536829
BaseRepresentation
bin100100111000…
…1011010100000
31100101112000000
41021301122200
514422321122
61530300000
7323243445
oct111613240
940345000
1019338912
11aa0967a
126587600
134011558
1427d59cc
151a700ac
hex12716a0

19338912 has 84 divisors (see below), whose sum is σ = 57152970. Its totient is φ = 6438528.

The previous prime is 19338881. The next prime is 19338919. The reversal of 19338912 is 21983391.

It can be written as a sum of positive squares in only one way, i.e., 15968016 + 3370896 = 3996^2 + 1836^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (19338919) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 22914 + ... + 23742.

Almost surely, 219338912 is an apocalyptic number.

19338912 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 19338912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28576485).

19338912 is an abundant number, since it is smaller than the sum of its proper divisors (37814058).

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

19338912 is an frugal number, since it uses more digits than its factorization.

19338912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 834 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 19338912 is about 4397.6029834445. The cubic root of 19338912 is about 268.4174085100.

The spelling of 19338912 in words is "nineteen million, three hundred thirty-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 829 864 972 1296 1458 1658 1944 2487 2592 2916 3316 3888 4974 5832 6632 7461 7776 9948 11664 13264 14922 19896 22383 23328 26528 29844 39792 44766 59688 67149 79584 89532 119376 134298 179064 201447 238752 268596 358128 402894 537192 604341 716256 805788 1074384 1208682 1611576 2148768 2417364 3223152 4834728 6446304 9669456 19338912