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481585426 = 27229414133
BaseRepresentation
bin11100101101000…
…110100100010010
31020120012002000021
4130231012210102
51441241213201
6115442014054
714635260100
oct3455064422
91216162007
10481585426
1122792a293
1211534732a
1378a084ba
1447d60c70
152c42bea1
hex1cb46912

481585426 has 48 divisors (see below), whose sum is σ = 890711640. Its totient is φ = 194369280.

The previous prime is 481585421. The next prime is 481585427. The reversal of 481585426 is 624585184.

It can be written as a sum of positive squares in 4 ways, for example, as 355360201 + 126225225 = 18851^2 + 11235^2 .

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (481585421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114456 + ... + 118588.

Almost surely, 2481585426 is an apocalyptic number.

481585426 is a deficient number, since it is larger than the sum of its proper divisors (409126214).

481585426 is a wasteful number, since it uses less digits than its factorization.

481585426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4219 (or 4212 counting only the distinct ones).

The product of its digits is 307200, while the sum is 43.

The square root of 481585426 is about 21945.0547048760. The cubic root of 481585426 is about 783.8346271093.

The spelling of 481585426 in words is "four hundred eighty-one million, five hundred eighty-five thousand, four hundred twenty-six".

Divisors: 1 2 7 14 29 41 49 58 82 98 203 287 406 574 1189 1421 2009 2378 2842 4018 4133 8266 8323 16646 28931 57862 58261 116522 119857 169453 202517 239714 338906 405034 838999 1186171 1677998 2372342 4914137 5872993 8303197 9828274 11745986 16606394 34398959 68797918 240792713 481585426