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413050064 = 2479194013
BaseRepresentation
bin11000100111101…
…010010011010000
31001210020010011112
4120213222103100
51321220100224
6104553032452
713143603410
oct3047522320
91053203145
10413050064
111a2179699
12b63b5728
136776052b
143cc00640
15263e030e
hex189ea4d0

413050064 has 40 divisors (see below), whose sum is σ = 915834240. Its totient is φ = 176784768.

The previous prime is 413050039. The next prime is 413050069. The reversal of 413050064 is 460050314.

It is a happy number.

It is a super-2 number, since 2×4130500642 = 341220710740808192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413050069) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 100922 + ... + 104934.

It is an arithmetic number, because the mean of its divisors is an integer number (22895856).

Almost surely, 2413050064 is an apocalyptic number.

It is an amenable number.

413050064 is an abundant number, since it is smaller than the sum of its proper divisors (502784176).

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

413050064 is a wasteful number, since it uses less digits than its factorization.

413050064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4947 (or 4941 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 413050064 is about 20323.6331397710. The cubic root of 413050064 is about 744.7335136859.

The spelling of 413050064 in words is "four hundred thirteen million, fifty thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 919 1838 3676 4013 6433 7352 8026 12866 14704 16052 25732 28091 32104 51464 56182 64208 102928 112364 224728 449456 3687947 7375894 14751788 25815629 29503576 51631258 59007152 103262516 206525032 413050064