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416806812 = 223211577967
BaseRepresentation
bin11000110101111…
…111011110011100
31002001021222110100
4120311333132130
51323200304222
6105205341100
713220541132
oct3065773634
91061258410
10416806812
111a4305144
12b7707790
1368477466
143d4db752
15268d34ac
hex18d7f79c

416806812 has 18 divisors (see below), whose sum is σ = 1053595088. Its totient is φ = 138935592.

The previous prime is 416806771. The next prime is 416806823. The reversal of 416806812 is 218608614.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 11577967 = 416806812 / (4 + 1 + 6 + 8 + 0 + 6 + 8 + 1 + 2).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 5788948 + ... + 5789019.

Almost surely, 2416806812 is an apocalyptic number.

It is an amenable number.

416806812 is an abundant number, since it is smaller than the sum of its proper divisors (636788276).

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

416806812 is a wasteful number, since it uses less digits than its factorization.

416806812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11577977 (or 11577972 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 416806812 is about 20415.8470801483. The cubic root of 416806812 is about 746.9845214343.

The spelling of 416806812 in words is "four hundred sixteen million, eight hundred six thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 11577967 23155934 34733901 46311868 69467802 104201703 138935604 208403406 416806812