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426461312 = 2714532293
BaseRepresentation
bin11001011010110…
…100100010000000
31002201110110221102
4121122310202000
51333133230222
6110152313532
713365601304
oct3132644200
91081413842
10426461312
111a97a9772
12ba9a28a8
136a477994
14408d1d04
152768dd92
hex196b4880

426461312 has 32 divisors (see below), whose sum is σ = 850546380. Its totient is φ = 212990976.

The previous prime is 426461311. The next prime is 426461339. The reversal of 426461312 is 213164624.

It can be written as a sum of positive squares in 2 ways, for example, as 408686656 + 17774656 = 20216^2 + 4216^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×4264613122 = 363738501265522688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (426461311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 184838 + ... + 187130.

Almost surely, 2426461312 is an apocalyptic number.

It is an amenable number.

426461312 is a deficient number, since it is larger than the sum of its proper divisors (424085068).

426461312 is a wasteful number, since it uses less digits than its factorization.

426461312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3760 (or 3748 counting only the distinct ones).

The product of its digits is 6912, while the sum is 29.

The square root of 426461312 is about 20650.9397364866. The cubic root of 426461312 is about 752.7080248852.

The spelling of 426461312 in words is "four hundred twenty-six million, four hundred sixty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 1453 2293 2906 4586 5812 9172 11624 18344 23248 36688 46496 73376 92992 146752 185984 293504 3331729 6663458 13326916 26653832 53307664 106615328 213230656 426461312