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39894426 = 232112131409
BaseRepresentation
bin1001100000101…
…1110110011010
32210001211212100
42120023312122
540203110201
63543024230
7663045165
oct230136632
983054770
1039894426
1120579300
121143b076
13835a790
145426adc
153780886
hex260bd9a

39894426 has 72 divisors (see below), whose sum is σ = 102391380. Its totient is φ = 11151360.

The previous prime is 39894419. The next prime is 39894467. The reversal of 39894426 is 62449893.

39894426 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 29648025 + 10246401 = 5445^2 + 3201^2 .

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 35 ways as a sum of consecutive naturals, for example, 27610 + ... + 29018.

Almost surely, 239894426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39894426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51195690).

39894426 is an abundant number, since it is smaller than the sum of its proper divisors (62496954).

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

39894426 is a wasteful number, since it uses less digits than its factorization.

39894426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452 (or 1438 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 39894426 is about 6316.2034482749. The cubic root of 39894426 is about 341.6940425682.

The spelling of 39894426 in words is "thirty-nine million, eight hundred ninety-four thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 121 143 198 234 242 286 363 429 726 858 1089 1287 1409 1573 2178 2574 2818 3146 4227 4719 8454 9438 12681 14157 15499 18317 25362 28314 30998 36634 46497 54951 92994 109902 139491 164853 170489 201487 278982 329706 340978 402974 511467 604461 1022934 1208922 1534401 1813383 2216357 3068802 3626766 4432714 6649071 13298142 19947213 39894426