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413128494 = 23228381101
BaseRepresentation
bin11000100111111…
…101011100101110
31001210101002202100
4120213331130232
51321230102434
6104554435530
713144351152
oct3047753456
91053332670
10413128494
111a2222609
12b6432ba6
136778a13c
143cc21062
1526408699
hex189fd72e

413128494 has 24 divisors (see below), whose sum is σ = 898285752. Its totient is φ = 137221200.

The previous prime is 413128493. The next prime is 413128531. The reversal of 413128494 is 494821314.

It is a happy number.

413128494 is a `hidden beast` number, since 41 + 3 + 128 + 494 = 666.

It is a super-3 number, since 3×4131284943 (a number of 27 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413128493) 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, 35457 + ... + 45644.

It is an arithmetic number, because the mean of its divisors is an integer number (37428573).

Almost surely, 2413128494 is an apocalyptic number.

413128494 is an abundant number, since it is smaller than the sum of its proper divisors (485157258).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

413128494 is a wasteful number, since it uses less digits than its factorization.

413128494 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81392 (or 81389 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 413128494 is about 20325.5625752401. The cubic root of 413128494 is about 744.7806474016.

The spelling of 413128494 in words is "four hundred thirteen million, one hundred twenty-eight thousand, four hundred ninety-four".

Divisors: 1 2 3 6 9 18 283 566 849 1698 2547 5094 81101 162202 243303 486606 729909 1459818 22951583 45903166 68854749 137709498 206564247 413128494