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413466741 = 33178310853
BaseRepresentation
bin11000101001010…
…000000001110101
31001211000021202000
4120221100001311
51321321413431
6105010005513
713150260252
oct3051200165
91054007660
10413466741
111a2433756
12b6576899
136787809c
143ccac429
15264739e6
hex18a50075

413466741 has 32 divisors (see below), whose sum is σ = 656449920. Its totient is φ = 256280832.

The previous prime is 413466731. The next prime is 413466761. The reversal of 413466741 is 147664314.

It is not a de Polignac number, because 413466741 - 25 = 413466709 is a prime.

It is a super-2 number, since 2×4134667412 = 341909491826322162, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 413466696 and 413466705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413466731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32671 + ... + 43523.

It is an arithmetic number, because the mean of its divisors is an integer number (20514060).

Almost surely, 2413466741 is an apocalyptic number.

It is an amenable number.

413466741 is a deficient number, since it is larger than the sum of its proper divisors (242983179).

413466741 is a wasteful number, since it uses less digits than its factorization.

413466741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10962 (or 10956 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 413466741 is about 20333.8816018979. The cubic root of 413466741 is about 744.9838538308.

The spelling of 413466741 in words is "four hundred thirteen million, four hundred sixty-six thousand, seven hundred forty-one".

Divisors: 1 3 9 17 27 51 83 153 249 459 747 1411 2241 4233 10853 12699 32559 38097 97677 184501 293031 553503 900799 1660509 2702397 4981527 8107191 15313583 24321573 45940749 137822247 413466741