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1938048 = 27372103
BaseRepresentation
bin111011001001010000000
310122110111120
413121022000
5444004143
6105312240
722321200
oct7311200
93573446
101938048
1111040a2
12795680
1352b198
14386400
15284383
hex1d9280

1938048 has 96 divisors (see below), whose sum is σ = 6046560. Its totient is φ = 548352.

The previous prime is 1938011. The next prime is 1938067. The reversal of 1938048 is 8408391.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18765 + ... + 18867.

It is an arithmetic number, because the mean of its divisors is an integer number (62985).

21938048 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 1938048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3023280).

1938048 is an abundant number, since it is smaller than the sum of its proper divisors (4108512).

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

1938048 is a wasteful number, since it uses less digits than its factorization.

1938048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 1938048 is about 1392.1379242015. The cubic root of 1938048 is about 124.6775261336.

The spelling of 1938048 in words is "one million, nine hundred thirty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 103 112 128 147 168 192 196 206 224 294 309 336 384 392 412 448 588 618 672 721 784 824 896 1176 1236 1344 1442 1568 1648 2163 2352 2472 2688 2884 3136 3296 4326 4704 4944 5047 5768 6272 6592 8652 9408 9888 10094 11536 13184 15141 17304 18816 19776 20188 23072 30282 34608 39552 40376 46144 60564 69216 80752 92288 121128 138432 161504 242256 276864 323008 484512 646016 969024 1938048