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415063541 = 4150919889
BaseRepresentation
bin11000101111010…
…101110111110101
31001221000102010202
4120233111313311
51322224013131
6105104130245
713166660534
oct3057256765
91057012122
10415063541
111a3324422
12b7006985
1367cb6b39
143d1a631b
152668bbcb
hex18bd5df5

415063541 has 8 divisors (see below), whose sum is σ = 426043800. Its totient is φ = 404124160.

The previous prime is 415063513. The next prime is 415063549. The reversal of 415063541 is 145360514.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 114041041 + 301022500 = 10679^2 + 17350^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 415063541 - 218 = 414801397 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415063549) 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, 10925 + ... + 30813.

It is an arithmetic number, because the mean of its divisors is an integer number (53255475).

Almost surely, 2415063541 is an apocalyptic number.

415063541 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

415063541 is a deficient number, since it is larger than the sum of its proper divisors (10980259).

415063541 is a wasteful number, since it uses less digits than its factorization.

415063541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20439.

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 415063541 is about 20373.1082802797. The cubic root of 415063541 is about 745.9416592891.

The spelling of 415063541 in words is "four hundred fifteen million, sixty-three thousand, five hundred forty-one".

Divisors: 1 41 509 19889 20869 815449 10123501 415063541