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424638441 = 32101569821
BaseRepresentation
bin11001010011110…
…111011111101001
31002121000212102200
4121103313133221
51332201412231
6110045250413
713344236643
oct3123673751
91077025380
10424638441
111a8774167
12ba263a09
1369c8a066
1440579893
152742dbe6
hex194f77e9

424638441 has 24 divisors (see below), whose sum is σ = 621284040. Its totient is φ = 279456000.

The previous prime is 424638439. The next prime is 424638463. The reversal of 424638441 is 144836424.

It can be written as a sum of positive squares in 4 ways, for example, as 59675625 + 364962816 = 7725^2 + 19104^2 .

It is not a de Polignac number, because 424638441 - 21 = 424638439 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 424638396 and 424638405.

It is not an unprimeable number, because it can be changed into a prime (424638041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 516811 + ... + 517631.

It is an arithmetic number, because the mean of its divisors is an integer number (25886835).

Almost surely, 2424638441 is an apocalyptic number.

It is an amenable number.

424638441 is a deficient number, since it is larger than the sum of its proper divisors (196645599).

424638441 is a wasteful number, since it uses less digits than its factorization.

424638441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1494 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 424638441 is about 20606.7571684630. The cubic root of 424638441 is about 751.6340320004.

The spelling of 424638441 in words is "four hundred twenty-four million, six hundred thirty-eight thousand, four hundred forty-one".

Divisors: 1 3 9 101 303 569 821 909 1707 2463 5121 7389 57469 82921 172407 248763 467149 517221 746289 1401447 4204341 47182049 141546147 424638441