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393928938 = 2321319251353
BaseRepresentation
bin10111011110101…
…110000011101010
31000110020122220200
4113132232003222
51301321211223
6103031133030
712522224604
oct2736560352
91013218820
10393928938
111923a9707
12abb14176
13637c7160
143a464174
15248b4a43
hex177ae0ea

393928938 has 96 divisors (see below), whose sum is σ = 974151360. Its totient is φ = 114048000.

The previous prime is 393928907. The next prime is 393928963. The reversal of 393928938 is 839829393.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1115770 + ... + 1116122.

It is an arithmetic number, because the mean of its divisors is an integer number (10147410).

Almost surely, 2393928938 is an apocalyptic number.

393928938 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 393928938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487075680).

393928938 is an abundant number, since it is smaller than the sum of its proper divisors (580222422).

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

393928938 is a wasteful number, since it uses less digits than its factorization.

393928938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 641 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The square root of 393928938 is about 19847.6431346394. The cubic root of 393928938 is about 733.0596160753.

The spelling of 393928938 in words is "three hundred ninety-three million, nine hundred twenty-eight thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 234 247 251 342 353 494 502 706 741 753 1059 1482 1506 2118 2223 2259 3177 3263 4446 4518 4589 4769 6354 6526 6707 9178 9538 9789 13414 13767 14307 19578 20121 27534 28614 29367 40242 41301 42921 58734 60363 61997 82602 85842 87191 88603 120726 123994 174382 177206 185991 261573 265809 371982 523146 531618 557973 784719 797427 1115946 1151839 1569438 1594854 1683457 2303678 3366914 3455517 5050371 6911034 10100742 10366551 15151113 20733102 21884941 30302226 43769882 65654823 131309646 196964469 393928938