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415133149 = 17109224033
BaseRepresentation
bin11000101111100…
…110110111011101
31001221010221121211
4120233212313131
51322233230044
6105105424421
713200400504
oct3057466735
91057127554
10415133149
111a3371752
12b703b111
136800c722
143d1c383b
15266a2634
hex18be6ddd

415133149 has 8 divisors (see below), whose sum is σ = 443587320. Its totient is φ = 387127296.

The previous prime is 415133123. The next prime is 415133161. The reversal of 415133149 is 941331514.

It can be written as a sum of positive squares in 4 ways, for example, as 102373924 + 312759225 = 10118^2 + 17685^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-415133149 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 415133149.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415133119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110164 + ... + 113869.

It is an arithmetic number, because the mean of its divisors is an integer number (55448415).

Almost surely, 2415133149 is an apocalyptic number.

It is an amenable number.

415133149 is a deficient number, since it is larger than the sum of its proper divisors (28454171).

415133149 is a wasteful number, since it uses less digits than its factorization.

415133149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224159.

The product of its digits is 6480, while the sum is 31.

The square root of 415133149 is about 20374.8165390513. The cubic root of 415133149 is about 745.9833562018.

The spelling of 415133149 in words is "four hundred fifteen million, one hundred thirty-three thousand, one hundred forty-nine".

Divisors: 1 17 109 1853 224033 3808561 24419597 415133149