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408468141 = 32229319793
BaseRepresentation
bin11000010110001…
…011101010101101
31001110121022221200
4120112023222231
51314031440031
6104310520113
713056631134
oct3026135255
91043538850
10408468141
1119a62a184
12b4966039
1366817b33
143c36a91b
1525cd78e6
hex1858baad

408468141 has 12 divisors (see below), whose sum is σ = 590296668. Its totient is φ = 272179584.

The previous prime is 408468133. The next prime is 408468143. The reversal of 408468141 is 141864804.

It can be written as a sum of positive squares in 2 ways, for example, as 226622916 + 181845225 = 15054^2 + 13485^2 .

It is not a de Polignac number, because 408468141 - 23 = 408468133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 408468096 and 408468105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408468143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10741 + ... + 30533.

It is an arithmetic number, because the mean of its divisors is an integer number (49191389).

Almost surely, 2408468141 is an apocalyptic number.

It is an amenable number.

408468141 is a deficient number, since it is larger than the sum of its proper divisors (181828527).

408468141 is a wasteful number, since it uses less digits than its factorization.

408468141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22092 (or 22089 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 408468141 is about 20210.5947710601. The cubic root of 408468141 is about 741.9695166723.

The spelling of 408468141 in words is "four hundred eight million, four hundred sixty-eight thousand, one hundred forty-one".

Divisors: 1 3 9 2293 6879 19793 20637 59379 178137 45385349 136156047 408468141