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585114021 = 32140946141
BaseRepresentation
bin100010111000000…
…010000110100101
31111202222212112200
4202320002012211
52144242122041
6134021005113
720333246532
oct4270020645
91452885480
10585114021
11280310908
12143b53799
13942b611b
14579cdd89
153657c1b6
hex22e021a5

585114021 has 12 divisors (see below), whose sum is σ = 845782860. Its totient is φ = 389790720.

The previous prime is 585114001. The next prime is 585114031. The reversal of 585114021 is 120411585.

It can be written as a sum of positive squares in 2 ways, for example, as 21288996 + 563825025 = 4614^2 + 23745^2 .

It is not a de Polignac number, because 585114021 - 29 = 585113509 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (585114001) 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 11 ways as a sum of consecutive naturals, for example, 10390 + ... + 35751.

It is an arithmetic number, because the mean of its divisors is an integer number (70481905).

Almost surely, 2585114021 is an apocalyptic number.

It is an amenable number.

585114021 is a deficient number, since it is larger than the sum of its proper divisors (260668839).

585114021 is a wasteful number, since it uses less digits than its factorization.

585114021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47556 (or 47553 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 585114021 is about 24189.1302241317. The cubic root of 585114021 is about 836.3989938764.

The spelling of 585114021 in words is "five hundred eighty-five million, one hundred fourteen thousand, twenty-one".

Divisors: 1 3 9 1409 4227 12681 46141 138423 415269 65012669 195038007 585114021