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19921344 = 263313347
BaseRepresentation
bin100101111111…
…1100111000000
31101111002221120
41023333213000
520044440334
61550552240
7331220502
oct113774700
941432846
1019921344
1110277223
126808680
1341866a1
142907d72
151b37949
hex12ff9c0

19921344 has 56 divisors (see below), whose sum is σ = 54425088. Its totient is φ = 6424320.

The previous prime is 19921337. The next prime is 19921357. The reversal of 19921344 is 44312991.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4279 + ... + 7625.

Almost surely, 219921344 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 19921344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27212544).

19921344 is an abundant number, since it is smaller than the sum of its proper divisors (34503744).

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

19921344 is a wasteful number, since it uses less digits than its factorization.

19921344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3393 (or 3383 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 19921344 is about 4463.3332835449. Note that the first 3 decimals coincide. The cubic root of 19921344 is about 271.0854520990.

The spelling of 19921344 in words is "nineteen million, nine hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1488 1984 2976 3347 5952 6694 10041 13388 20082 26776 40164 53552 80328 103757 107104 160656 207514 214208 311271 321312 415028 622542 642624 830056 1245084 1660112 2490168 3320224 4980336 6640448 9960672 19921344