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468140085 = 32576472297
BaseRepresentation
bin11011111001110…
…100000000110101
31012121212222110200
4123321310000311
51424320440320
6114241511113
714413060620
oct3371640065
91177788420
10468140085
11220286636
12110942499
1375cab68a
1446260db7
152b173290
hex1be74035

468140085 has 48 divisors (see below), whose sum is σ = 929200896. Its totient is φ = 213583104.

The previous prime is 468140081. The next prime is 468140143. The reversal of 468140085 is 580041864.

It is not a de Polignac number, because 468140085 - 22 = 468140081 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468140081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202657 + ... + 204953.

It is an arithmetic number, because the mean of its divisors is an integer number (19358352).

Almost surely, 2468140085 is an apocalyptic number.

468140085 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

468140085 is a deficient number, since it is larger than the sum of its proper divisors (461060811).

468140085 is a wasteful number, since it uses less digits than its factorization.

468140085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2962 (or 2959 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 468140085 is about 21636.5451262442. The cubic root of 468140085 is about 776.4710651077.

The spelling of 468140085 in words is "four hundred sixty-eight million, one hundred forty thousand, eighty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 647 1941 2297 3235 4529 5823 6891 9705 11485 13587 16079 20673 22645 29115 34455 40761 48237 67935 80395 103365 144711 203805 241185 723555 1486159 4458477 7430795 10403113 13375431 22292385 31209339 52015565 66877155 93628017 156046695 468140085