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487129041 = 327210512
BaseRepresentation
bin11101000010001…
…111111111010001
31020221121201102100
4131002033333101
51444201112131
6120200511013
715033346200
oct3502177721
91227551370
10487129041
1122aa76293
1211717b469
1379bc9849
14489a5237
152cb747e6
hex1d08ffd1

487129041 has 27 divisors (see below), whose sum is σ = 819288873. Its totient is φ = 278094600.

The previous prime is 487129007. The next prime is 487129043. The reversal of 487129041 is 140921784.

The square root of 487129041 is 22071.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 487129041 - 29 = 487128529 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 487128987 and 487129005.

It is not an unprimeable number, because it can be changed into a prime (487129043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 462966 + ... + 464016.

Almost surely, 2487129041 is an apocalyptic number.

487129041 is the 22071-st square number.

487129041 is the 11036-th centered octagonal number.

It is an amenable number.

487129041 is a deficient number, since it is larger than the sum of its proper divisors (332159832).

487129041 is an equidigital number, since it uses as much as digits as its factorization.

487129041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The cubic root of 487129041 is about 786.8307796033.

Multiplying 487129041 by its sum of digits (36), we get a square (17536645476 = 1324262).

The spelling of 487129041 in words is "four hundred eighty-seven million, one hundred twenty-nine thousand, forty-one".

Divisors: 1 3 7 9 21 49 63 147 441 1051 3153 7357 9459 22071 51499 66213 154497 463491 1104601 3313803 7732207 9941409 23196621 54125449 69589863 162376347 487129041