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419376045 = 351115716189
BaseRepresentation
bin11000111111110…
…010101110101101
31002020010111210010
4120333302232231
51324330013140
6105340403433
713251431454
oct3077625655
91066114703
10419376045
111a57aa480
12b8546579
1368b66a0a
143d9a9b9b
1526c3e880
hex18ff2bad

419376045 has 32 divisors (see below), whose sum is σ = 736709760. Its totient is φ = 202026240.

The previous prime is 419376031. The next prime is 419376053. The reversal of 419376045 is 540673914.

It is a de Polignac number, because none of the positive numbers 2k-419376045 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 419375994 and 419376012.

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 31 ways as a sum of consecutive naturals, for example, 17811 + ... + 33999.

It is an arithmetic number, because the mean of its divisors is an integer number (23022180).

Almost surely, 2419376045 is an apocalyptic number.

It is an amenable number.

419376045 is a deficient number, since it is larger than the sum of its proper divisors (317333715).

419376045 is a wasteful number, since it uses less digits than its factorization.

419376045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16365.

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 419376045 is about 20478.6729306369. The cubic root of 419376045 is about 748.5162041803.

The spelling of 419376045 in words is "four hundred nineteen million, three hundred seventy-six thousand, forty-five".

Divisors: 1 3 5 11 15 33 55 157 165 471 785 1727 2355 5181 8635 16189 25905 48567 80945 178079 242835 534237 890395 2541673 2671185 7625019 12708365 27958403 38125095 83875209 139792015 419376045