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424640385 = 32513255837
BaseRepresentation
bin11001010011110…
…111111110000001
31002121000222002200
4121103313332001
51332201443020
6110045303413
713344245421
oct3123677601
91077028080
10424640385
111a8775674
12ba264b69
1369c8ac00
144057a481
152742e590
hex194f7f81

424640385 has 36 divisors (see below), whose sum is σ = 797031612. Its totient is φ = 209049984.

The previous prime is 424640383. The next prime is 424640389. The reversal of 424640385 is 583046424.

424640385 is a `hidden beast` number, since 4 + 2 + 4 + 640 + 3 + 8 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 54154881 + 370485504 = 7359^2 + 19248^2 .

It is not a de Polignac number, because 424640385 - 21 = 424640383 is a prime.

It is not an unprimeable number, because it can be changed into a prime (424640383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20314 + ... + 35523.

It is an arithmetic number, because the mean of its divisors is an integer number (22139767).

Almost surely, 2424640385 is an apocalyptic number.

424640385 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

424640385 is a deficient number, since it is larger than the sum of its proper divisors (372391227).

424640385 is a wasteful number, since it uses less digits than its factorization.

424640385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55874 (or 55858 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 424640385 is about 20606.8043374027. The cubic root of 424640385 is about 751.6351789953.

The spelling of 424640385 in words is "four hundred twenty-four million, six hundred forty thousand, three hundred eighty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 169 195 507 585 845 1521 2535 7605 55837 167511 279185 502533 725881 837555 2177643 2512665 3629405 6532929 9436453 10888215 28309359 32664645 47182265 84928077 141546795 424640385