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416580045 = 3573967429
BaseRepresentation
bin11000110101001…
…000000111001101
31002000212110101120
4120311020013031
51323121030140
6105200431153
713215605040
oct3065100715
91060773346
10416580045
111a416a832
12b76184b9
13683c818b
143d47cc57
152688b1d0
hex18d481cd

416580045 has 16 divisors (see below), whose sum is σ = 761746560. Its totient is φ = 190436544.

The previous prime is 416580013. The next prime is 416580067. The reversal of 416580045 is 540085614.

It is not a de Polignac number, because 416580045 - 25 = 416580013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 416579988 and 416580015.

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, 1983610 + ... + 1983819.

It is an arithmetic number, because the mean of its divisors is an integer number (47609160).

Almost surely, 2416580045 is an apocalyptic number.

It is an amenable number.

416580045 is a deficient number, since it is larger than the sum of its proper divisors (345166515).

416580045 is a wasteful number, since it uses less digits than its factorization.

416580045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3967444.

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 416580045 is about 20410.2926240659. The cubic root of 416580045 is about 746.8490292727.

The spelling of 416580045 in words is "four hundred sixteen million, five hundred eighty thousand, forty-five".

Divisors: 1 3 5 7 15 21 35 105 3967429 11902287 19837145 27772003 59511435 83316009 138860015 416580045