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4013394 = 2372111773
BaseRepresentation
bin1111010011110101010010
321112220100020
433103311102
52011412034
6222004310
746053600
oct17236522
97486306
104013394
1122a1360
121416696
13aa69b8
14766870
15544249
hex3d3d52

4013394 has 96 divisors (see below), whose sum is σ = 10933056. Its totient is φ = 967680.

The previous prime is 4013369. The next prime is 4013407. The reversal of 4013394 is 4933104.

It is a super-2 number, since 2×40133942 = 32214662798472, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54942 + ... + 55014.

It is an arithmetic number, because the mean of its divisors is an integer number (113886).

Almost surely, 24013394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4013394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5466528).

4013394 is an abundant number, since it is smaller than the sum of its proper divisors (6919662).

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

4013394 is a wasteful number, since it uses less digits than its factorization.

4013394 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 4013394 is about 2003.3457015703. The cubic root of 4013394 is about 158.9170882151.

Adding to 4013394 its reverse (4933104), we get a palindrome (8946498).

The spelling of 4013394 in words is "four million, thirteen thousand, three hundred ninety-four".

Divisors: 1 2 3 6 7 11 14 17 21 22 33 34 42 49 51 66 73 77 98 102 119 146 147 154 187 219 231 238 294 357 374 438 462 511 539 561 714 803 833 1022 1078 1122 1241 1309 1533 1606 1617 1666 2409 2482 2499 2618 3066 3234 3577 3723 3927 4818 4998 5621 7154 7446 7854 8687 9163 10731 11242 13651 16863 17374 18326 21462 26061 27302 27489 33726 39347 40953 52122 54978 60809 78694 81906 95557 118041 121618 182427 191114 236082 286671 364854 573342 668899 1337798 2006697 4013394