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405330093 = 32727123741
BaseRepresentation
bin11000001010001…
…101100010101101
31001020200220100200
4120022031202231
51312231030333
6104115344113
713021151250
oct3012154255
91036626320
10405330093
11198886553
12b38b2039
1365c896bc
143bb91097
15258b7c13
hex1828d8ad

405330093 has 24 divisors (see below), whose sum is σ = 671613696. Its totient is φ = 230752800.

The previous prime is 405330089. The next prime is 405330103. The reversal of 405330093 is 390033504.

405330093 is a `hidden beast` number, since 40 + 533 + 0 + 0 + 93 = 666.

It is not a de Polignac number, because 405330093 - 22 = 405330089 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405330493) 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, 5203 + ... + 28943.

It is an arithmetic number, because the mean of its divisors is an integer number (27983904).

Almost surely, 2405330093 is an apocalyptic number.

It is an amenable number.

405330093 is a deficient number, since it is larger than the sum of its proper divisors (266283603).

405330093 is a wasteful number, since it uses less digits than its factorization.

405330093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24025 (or 24022 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 405330093 is about 20132.8113536088. The cubic root of 405330093 is about 740.0645749589.

Adding to 405330093 its reverse (390033504), we get a palindrome (795363597).

The spelling of 405330093 in words is "four hundred five million, three hundred thirty thousand, ninety-three".

Divisors: 1 3 7 9 21 63 271 813 1897 2439 5691 17073 23741 71223 166187 213669 498561 1495683 6433811 19301433 45036677 57904299 135110031 405330093