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4481631 = 3271129223
BaseRepresentation
bin10001000110001001011111
322102200122100
4101012021133
52121403011
6240020143
753043660
oct21061137
98380570
104481631
112591130
121601653
13c0bb6b
14849367
155d7d56
hex44625f

4481631 has 48 divisors (see below), whose sum is σ = 8386560. Its totient is φ = 2237760.

The previous prime is 4481629. The next prime is 4481677. The reversal of 4481631 is 1361844.

It is not a de Polignac number, because 4481631 - 21 = 4481629 is a prime.

It is a super-2 number, since 2×44816312 = 40170032840322, which contains 22 as substring.

4481631 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 4481595 and 4481604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4481611) 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 47 ways as a sum of consecutive naturals, for example, 19986 + ... + 20208.

It is an arithmetic number, because the mean of its divisors is an integer number (174720).

Almost surely, 24481631 is an apocalyptic number.

4481631 is a deficient number, since it is larger than the sum of its proper divisors (3904929).

4481631 is a wasteful number, since it uses less digits than its factorization.

4481631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 273 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 4481631 is about 2116.9863013255. The cubic root of 4481631 is about 164.8714149708.

The spelling of 4481631 in words is "four million, four hundred eighty-one thousand, six hundred thirty-one".

Divisors: 1 3 7 9 11 21 29 33 63 77 87 99 203 223 231 261 319 609 669 693 957 1561 1827 2007 2233 2453 2871 4683 6467 6699 7359 14049 17171 19401 20097 22077 45269 51513 58203 71137 135807 154539 213411 407421 497959 640233 1493877 4481631