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463242241 = 71123892939
BaseRepresentation
bin11011100111001…
…000010000000001
31012021200010220001
4123213020100001
51422042222431
6113544520001
714323331320
oct3347102001
91167603801
10463242241
11218540830
1210b180001
1374c85247
14457480b7
152aa06e61
hex1b9c8401

463242241 has 32 divisors (see below), whose sum is σ = 609638400. Its totient is φ = 341278080.

The previous prime is 463242233. The next prime is 463242301. The reversal of 463242241 is 142242364.

It is not a de Polignac number, because 463242241 - 23 = 463242233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (463242541) 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 31 ways as a sum of consecutive naturals, for example, 156150 + ... + 159088.

It is an arithmetic number, because the mean of its divisors is an integer number (19051200).

Almost surely, 2463242241 is an apocalyptic number.

It is an amenable number.

463242241 is a deficient number, since it is larger than the sum of its proper divisors (146396159).

463242241 is a wasteful number, since it uses less digits than its factorization.

463242241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3069.

The product of its digits is 9216, while the sum is 28.

The square root of 463242241 is about 21523.0630022773. The cubic root of 463242241 is about 773.7536629250.

The spelling of 463242241 in words is "four hundred sixty-three million, two hundred forty-two thousand, two hundred forty-one".

Divisors: 1 7 11 23 77 89 161 253 623 979 1771 2047 2939 6853 14329 20573 22517 32329 67597 157619 226303 261571 473179 743567 1830997 2877281 5204969 6016133 20140967 42112931 66177463 463242241