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426482616 = 23379726171
BaseRepresentation
bin11001011010111…
…001101110111000
31002201111120011110
4121122321232320
51333134420431
6110153000320
713366020360
oct3132715670
91081446143
10426482616
111a981377a
12ba9b30a0
136a4845a1
14408d99a0
1527695346
hex196b9bb8

426482616 has 64 divisors (see below), whose sum is σ = 1231130880. Its totient is φ = 120591360.

The previous prime is 426482611. The next prime is 426482627. The reversal of 426482616 is 616284624.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426482611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3211 + ... + 29381.

It is an arithmetic number, because the mean of its divisors is an integer number (19236420).

Almost surely, 2426482616 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 426482616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615565440).

426482616 is an abundant number, since it is smaller than the sum of its proper divisors (804648264).

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

426482616 is a wasteful number, since it uses less digits than its factorization.

426482616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26284 (or 26280 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 426482616 is about 20651.4555419225. The cubic root of 426482616 is about 752.7205585932.

The spelling of 426482616 in words is "four hundred twenty-six million, four hundred eighty-two thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 97 168 194 291 388 582 679 776 1164 1358 2037 2328 2716 4074 5432 8148 16296 26171 52342 78513 104684 157026 183197 209368 314052 366394 549591 628104 732788 1099182 1465576 2198364 2538587 4396728 5077174 7615761 10154348 15231522 17770109 20308696 30463044 35540218 53310327 60926088 71080436 106620654 142160872 213241308 426482616