Search a number
-
+
505315104 = 2537751957
BaseRepresentation
bin11110000111100…
…111111100100000
31022012211200000020
4132013213330200
52013330040404
6122050353440
715344051610
oct3607477440
91265750006
10505315104
1123a267798
1212128b880
13808c6428
144b17aa40
152e567ed9
hex1e1e7f20

505315104 has 48 divisors (see below), whose sum is σ = 1515947328. Its totient is φ = 144375552.

The previous prime is 505315087. The next prime is 505315133. The reversal of 505315104 is 401513505.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 375307 + ... + 376650.

It is an arithmetic number, because the mean of its divisors is an integer number (31582236).

Almost surely, 2505315104 is an apocalyptic number.

It is an amenable number.

505315104 is an abundant number, since it is smaller than the sum of its proper divisors (1010632224).

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

505315104 is a wasteful number, since it uses less digits than its factorization.

505315104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751977 (or 751969 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 505315104 is about 22479.2149329108. The cubic root of 505315104 is about 796.5030195157.

Adding to 505315104 its reverse (401513505), we get a palindrome (906828609).

The spelling of 505315104 in words is "five hundred five million, three hundred fifteen thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 751957 1503914 2255871 3007828 4511742 5263699 6015656 9023484 10527398 12031312 15791097 18046968 21054796 24062624 31582194 36093936 42109592 63164388 72187872 84219184 126328776 168438368 252657552 505315104