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38940006 = 2372196971
BaseRepresentation
bin1001010010001…
…0110101100110
32201021100122110
42110202311212
534432040011
63510341450
7651661500
oct224426546
981240573
1038940006
111aa87226
121105a886
1380b5231
145258d70
153642ba6
hex2522d66

38940006 has 48 divisors (see below), whose sum is σ = 95376960. Its totient is φ = 10538640.

The previous prime is 38939977. The next prime is 38940007. The reversal of 38940006 is 60004983.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38940007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2101 + ... + 9071.

It is an arithmetic number, because the mean of its divisors is an integer number (1987020).

Almost surely, 238940006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38940006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47688480).

38940006 is an abundant number, since it is smaller than the sum of its proper divisors (56436954).

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

38940006 is a wasteful number, since it uses less digits than its factorization.

38940006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7009 (or 7002 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 38940006 is about 6240.1927854835. The cubic root of 38940006 is about 338.9471641709.

Adding to 38940006 its reverse (60004983), we get a palindrome (98944989).

The spelling of 38940006 in words is "thirty-eight million, nine hundred forty thousand, six".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 98 114 133 147 266 294 399 798 931 1862 2793 5586 6971 13942 20913 41826 48797 97594 132449 146391 264898 292782 341579 397347 683158 794694 927143 1024737 1854286 2049474 2781429 5562858 6490001 12980002 19470003 38940006