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408242241 = 33111519103
BaseRepresentation
bin11000010101010…
…100100001000001
31001110011212002000
4120111110201001
51314002222431
6104302014213
713055000421
oct3025244101
91043155060
10408242241
1119a495490
12b4877369
1366769074
143c30c481
1525c909e6
hex18554841

408242241 has 32 divisors (see below), whose sum is σ = 664227840. Its totient is φ = 245754000.

The previous prime is 408242221. The next prime is 408242273. The reversal of 408242241 is 142242804.

It is not a de Polignac number, because 408242241 - 25 = 408242209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (408242221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40296 + ... + 49398.

It is an arithmetic number, because the mean of its divisors is an integer number (20757120).

Almost surely, 2408242241 is an apocalyptic number.

It is an amenable number.

408242241 is a deficient number, since it is larger than the sum of its proper divisors (255985599).

408242241 is a wasteful number, since it uses less digits than its factorization.

408242241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9274 (or 9268 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 408242241 is about 20205.0053452109. The cubic root of 408242241 is about 741.8327113705.

The spelling of 408242241 in words is "four hundred eight million, two hundred forty-two thousand, two hundred forty-one".

Divisors: 1 3 9 11 27 33 99 151 297 453 1359 1661 4077 4983 9103 14949 27309 44847 81927 100133 245781 300399 901197 1374553 2703591 4123659 12370977 15120083 37112931 45360249 136080747 408242241