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414464464 = 24199130171
BaseRepresentation
bin11000101101000…
…011100111010000
31001212212222100201
4120231003213100
51322100330324
6105043224544
713161614131
oct3055034720
91055788321
10414464464
111a2a55317
12b6978154
1367b3725b
143d08bc88
15265be444
hex18b439d0

414464464 has 20 divisors (see below), whose sum is σ = 807066400. Its totient is φ = 206189280.

The previous prime is 414464443. The next prime is 414464483. The reversal of 414464464 is 464464414.

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 3 ways as a sum of consecutive naturals, for example, 61902 + ... + 68269.

It is an arithmetic number, because the mean of its divisors is an integer number (40353320).

Almost surely, 2414464464 is an apocalyptic number.

It is an amenable number.

414464464 is a deficient number, since it is larger than the sum of its proper divisors (392601936).

414464464 is a wasteful number, since it uses less digits than its factorization.

414464464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130378 (or 130372 counting only the distinct ones).

The product of its digits is 147456, while the sum is 37.

The square root of 414464464 is about 20358.4003300849. The cubic root of 414464464 is about 745.5826044957.

The spelling of 414464464 in words is "four hundred fourteen million, four hundred sixty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 199 398 796 1592 3184 130171 260342 520684 1041368 2082736 25904029 51808058 103616116 207232232 414464464