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427286016 = 293410303
BaseRepresentation
bin11001011101111…
…101111000000000
31002210000101020000
4121131331320000
51333341123031
6110222120000
713405604553
oct3135757000
91083011200
10427286016
111aa212343
12bb120000
136a6a6181
1440a6869a
15277a33e6
hex1977de00

427286016 has 100 divisors (see below), whose sum is σ = 1275460032. Its totient is φ = 142414848.

The previous prime is 427285997. The next prime is 427286021. The reversal of 427286016 is 610682724.

427286016 is a `hidden beast` number, since 4 + 27 + 28 + 601 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 36321 + ... + 46623.

Almost surely, 2427286016 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 427286016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637730016).

427286016 is an abundant number, since it is smaller than the sum of its proper divisors (848174016).

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

427286016 is an equidigital number, since it uses as much as digits as its factorization.

427286016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10333 (or 10308 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 427286016 is about 20670.8978034337. The cubic root of 427286016 is about 753.1929157625.

The spelling of 427286016 in words is "four hundred twenty-seven million, two hundred eighty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1152 1296 1536 1728 2304 2592 3456 4608 5184 6912 10303 10368 13824 20606 20736 30909 41212 41472 61818 82424 92727 123636 164848 185454 247272 278181 329696 370908 494544 556362 659392 741816 834543 989088 1112724 1318784 1483632 1669086 1978176 2225448 2637568 2967264 3338172 3956352 4450896 5275136 5934528 6676344 7912704 8901792 11869056 13352688 15825408 17803584 23738112 26705376 35607168 47476224 53410752 71214336 106821504 142428672 213643008 427286016