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286729404 = 223133075987
BaseRepresentation
bin10001000101110…
…010010010111100
3201222112100210120
4101011302102330
51041400320104
644241334540
710051105533
oct2105622274
9658470716
10286729404
11137940055
1280037450
1347532690
142a11b31a
151a28bcd9
hex111724bc

286729404 has 48 divisors (see below), whose sum is σ = 722967168. Its totient is φ = 87922368.

The previous prime is 286729403. The next prime is 286729411. The reversal of 286729404 is 404927682.

It is a super-2 number, since 2×2867294042 = 164427502236390432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286729403) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 44899 + ... + 50885.

It is an arithmetic number, because the mean of its divisors is an integer number (15061816).

Almost surely, 2286729404 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 286729404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361483584).

286729404 is an abundant number, since it is smaller than the sum of its proper divisors (436237764).

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

286729404 is a wasteful number, since it uses less digits than its factorization.

286729404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6314 (or 6312 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 286729404 is about 16933.0860743103. The cubic root of 286729404 is about 659.4128570734.

The spelling of 286729404 in words is "two hundred eighty-six million, seven hundred twenty-nine thousand, four hundred four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 307 614 921 1228 1842 3684 3991 5987 7982 11973 11974 15964 17961 23946 23948 35922 47892 71844 77831 155662 233493 311324 466986 933972 1838009 3676018 5514027 7352036 11028054 22056108 23894117 47788234 71682351 95576468 143364702 286729404