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428460786 = 233131016043
BaseRepresentation
bin11001100010011…
…100101011110010
31002212020001201000
4121202130223302
51334141221121
6110303222430
713421566545
oct3142345362
91085201630
10428460786
111aa944a26
12bb5a7a16
136a9c7ac0
1440c9285c
1527936526
hex1989caf2

428460786 has 64 divisors (see below), whose sum is σ = 1035699840. Its totient is φ = 130507200.

The previous prime is 428460757. The next prime is 428460803. The reversal of 428460786 is 687064824.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67881 + ... + 73923.

It is an arithmetic number, because the mean of its divisors is an integer number (16182810).

Almost surely, 2428460786 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428460786, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517849920).

428460786 is an abundant number, since it is smaller than the sum of its proper divisors (607239054).

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

428460786 is a wasteful number, since it uses less digits than its factorization.

428460786 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6168 (or 6162 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 428460786 is about 20699.2943357980. The cubic root of 428460786 is about 753.8825543466.

The spelling of 428460786 in words is "four hundred twenty-eight million, four hundred sixty thousand, seven hundred eighty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 101 117 202 234 303 351 606 702 909 1313 1818 2626 2727 3939 5454 6043 7878 11817 12086 18129 23634 35451 36258 54387 70902 78559 108774 157118 163161 235677 326322 471354 610343 707031 1220686 1414062 1831029 2121093 3662058 4242186 5493087 7934459 10986174 15868918 16479261 23803377 32958522 47606754 71410131 142820262 214230393 428460786