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505391480 = 235113832999
BaseRepresentation
bin11110000111111…
…010100101111000
31022012222112202222
4132013322211320
52013340011410
6122052143212
715344520356
oct3607724570
91265875688
10505391480
1123a30a110
12121307b08
1380922119
144b19a7d6
152e580955
hex1e1fa978

505391480 has 64 divisors (see below), whose sum is σ = 1244160000. Its totient is φ = 183237760.

The previous prime is 505391479. The next prime is 505391503. The reversal of 505391480 is 84193505.

It is a self number, because there is not a number n which added to its sum of digits gives 505391480.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 167021 + ... + 170019.

It is an arithmetic number, because the mean of its divisors is an integer number (19440000).

Almost surely, 2505391480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505391480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622080000).

505391480 is an abundant number, since it is smaller than the sum of its proper divisors (738768520).

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

505391480 is a wasteful number, since it uses less digits than its factorization.

505391480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3404 (or 3400 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 505391480 is about 22480.9136824997. The cubic root of 505391480 is about 796.5431467218.

The spelling of 505391480 in words is "five hundred five million, three hundred ninety-one thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 383 440 766 1532 1915 2999 3064 3830 4213 5998 7660 8426 11996 14995 15320 16852 21065 23992 29990 32989 33704 42130 59980 65978 84260 119960 131956 164945 168520 263912 329890 659780 1148617 1319560 2297234 4594468 5743085 9188936 11486170 12634787 22972340 25269574 45944680 50539148 63173935 101078296 126347870 252695740 505391480