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413217966 = 23719517817
BaseRepresentation
bin11000101000010…
…011010010101110
31001210112122111010
4120220103102232
51321240433331
6105000410050
713145203050
oct3050232256
91053478433
10413217966
111a2283857
12b6476926
13677bba95
143cc458d0
1526424e46
hex18a134ae

413217966 has 32 divisors (see below), whose sum is σ = 994210560. Its totient is φ = 111848256.

The previous prime is 413217943. The next prime is 413217971. The reversal of 413217966 is 669712314.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258111 + ... + 259706.

It is an arithmetic number, because the mean of its divisors is an integer number (31069080).

Almost surely, 2413217966 is an apocalyptic number.

413217966 is an abundant number, since it is smaller than the sum of its proper divisors (580992594).

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

413217966 is a wasteful number, since it uses less digits than its factorization.

413217966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517848.

The product of its digits is 54432, while the sum is 39.

The square root of 413217966 is about 20327.7634283755. The cubic root of 413217966 is about 744.8344096936.

The spelling of 413217966 in words is "four hundred thirteen million, two hundred seventeen thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 399 798 517817 1035634 1553451 3106902 3624719 7249438 9838523 10874157 19677046 21748314 29515569 59031138 68869661 137739322 206608983 413217966