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405020241 = 32371216277
BaseRepresentation
bin11000001001000…
…001111001010001
31001020010011022200
4120021001321101
51312141121431
6104104553413
713015421013
oct3011017121
91036104280
10405020241
1119869477a
12b3782869
1365bab662
143bb101b3
1525855ee6
hex18241e51

405020241 has 12 divisors (see below), whose sum is σ = 600841332. Its totient is φ = 262715616.

The previous prime is 405020233. The next prime is 405020243. The reversal of 405020241 is 142020504.

405020241 is a `hidden beast` number, since 405 + 0 + 20 + 241 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 221146641 + 183873600 = 14871^2 + 13560^2 .

It is not a de Polignac number, because 405020241 - 23 = 405020233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (405020243) 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, 607806 + ... + 608471.

It is an arithmetic number, because the mean of its divisors is an integer number (50070111).

Almost surely, 2405020241 is an apocalyptic number.

It is an amenable number.

405020241 is a deficient number, since it is larger than the sum of its proper divisors (195821091).

405020241 is a wasteful number, since it uses less digits than its factorization.

405020241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216320 (or 1216317 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 405020241 is about 20125.1146829031. The cubic root of 405020241 is about 739.8759476737.

Adding to 405020241 its reverse (142020504), we get a palindrome (547040745).

The spelling of 405020241 in words is "four hundred five million, twenty thousand, two hundred forty-one".

Divisors: 1 3 9 37 111 333 1216277 3648831 10946493 45002249 135006747 405020241