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505893072 = 24317619967
BaseRepresentation
bin11110001001110…
…101000011010000
31022020221000211110
4132021311003100
52014002034242
6122111013320
715352006626
oct3611650320
91266830743
10505893072
1123a621a53
1212150a240
1380a69519
144b28b516
152e62e39c
hex1e2750d0

505893072 has 40 divisors (see below), whose sum is σ = 1383768576. Its totient is φ = 158711296.

The previous prime is 505893071. The next prime is 505893077. The reversal of 505893072 is 270398505.

It is a self number, because there is not a number n which added to its sum of digits gives 505893072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505893071) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 309168 + ... + 310799.

Almost surely, 2505893072 is an apocalyptic number.

It is an amenable number.

505893072 is an abundant number, since it is smaller than the sum of its proper divisors (877875504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

505893072 is a wasteful number, since it uses less digits than its factorization.

505893072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619995 (or 619989 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 505893072 is about 22492.0668681204. The cubic root of 505893072 is about 796.8065778638.

The spelling of 505893072 in words is "five hundred five million, eight hundred ninety-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 619967 1239934 1859901 2479868 3719802 4959736 7439604 9919472 10539439 14879208 21078878 29758416 31618317 42157756 63236634 84315512 126473268 168631024 252946536 505893072