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19386368 = 2124733
BaseRepresentation
bin100100111110…
…1000000000000
31100110221002122
41021331000000
514430330433
61531303412
7323532011
oct111750000
940427078
1019386368
11aa412a1
1265aab68
13402a031
142809008
151a7e198
hex127d000

19386368 has 26 divisors (see below), whose sum is σ = 38776194. Its totient is φ = 9691136.

The previous prime is 19386329. The next prime is 19386371. The reversal of 19386368 is 86368391.

It can be written as a sum of positive squares in only one way, i.e., 13778944 + 5607424 = 3712^2 + 2368^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1730 + ... + 6462.

Almost surely, 219386368 is an apocalyptic number.

19386368 is the 2354-th centered heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19386368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19388097).

19386368 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

19386368 is an frugal number, since it uses more digits than its factorization.

19386368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4757 (or 4735 counting only the distinct ones).

The product of its digits is 186624, while the sum is 44.

The square root of 19386368 is about 4402.9953440811. The cubic root of 19386368 is about 268.6367867838.

The spelling of 19386368 in words is "nineteen million, three hundred eighty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 4733 9466 18932 37864 75728 151456 302912 605824 1211648 2423296 4846592 9693184 19386368