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506424919 = 71113505919
BaseRepresentation
bin11110001011110…
…110111001010111
31022021221001101111
4132023312321113
52014121044134
6122130235451
715356353330
oct3613667127
91267831344
10506424919
1123a9555a0
12121725b87
1380bc4620
144b389287
152e6d6c64
hex1e2f6e57

506424919 has 16 divisors (see below), whose sum is σ = 679956480. Its totient is φ = 364260960.

The previous prime is 506424899. The next prime is 506424929. The reversal of 506424919 is 919424605.

It is not a de Polignac number, because 506424919 - 25 = 506424887 is a prime.

It is a super-2 number, since 2×5064249192 = 512932397168313122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506424929) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 251959 + ... + 253960.

It is an arithmetic number, because the mean of its divisors is an integer number (42497280).

Almost surely, 2506424919 is an apocalyptic number.

506424919 is a deficient number, since it is larger than the sum of its proper divisors (173531561).

506424919 is a wasteful number, since it uses less digits than its factorization.

506424919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505950.

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 506424919 is about 22503.8867531811. The cubic root of 506424919 is about 797.0857085018.

The spelling of 506424919 in words is "five hundred six million, four hundred twenty-four thousand, nine hundred nineteen".

Divisors: 1 7 11 13 77 91 143 1001 505919 3541433 5565109 6576947 38955763 46038629 72346417 506424919