| Base | Representation |
|---|---|
| bin | 11110001000101… |
| … | …000011001100000 |
| 3 | 1022020100002011000 |
| 4 | 132020220121200 |
| 5 | 2013412012404 |
| 6 | 122100152000 |
| 7 | 15346231362 |
| oct | 3610503140 |
| 9 | 1266302130 |
| 10 | 505579104 |
| 11 | 23a428078 |
| 12 | 121398600 |
| 13 | 80989644 |
| 14 | 4b208d32 |
| 15 | 2e5bb339 |
| hex | 1e228660 |
505579104 has 96 divisors (see below), whose sum is σ = 1478463840. Its totient is φ = 168086016.
The previous prime is 505579097. The next prime is 505579111. The reversal of 505579104 is 401975505.
It is an interprime number because it is at equal distance from previous prime (505579097) and next prime (505579111).
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×5055791042 = 511220460802885632, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 653662 + ... + 654434.
It is an arithmetic number, because the mean of its divisors is an integer number (15400665).
Almost surely, 2505579104 is an apocalyptic number.
505579104 is a gapful number since it is divisible by the number (54) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 505579104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739231920).
505579104 is an abundant number, since it is smaller than the sum of its proper divisors (972884736).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
505579104 is a wasteful number, since it uses less digits than its factorization.
505579104 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1549 (or 1535 counting only the distinct ones).
The product of its (nonzero) digits is 31500, while the sum is 36.
The square root of 505579104 is about 22485.0862573396. The cubic root of 505579104 is about 796.6417053816.
The spelling of 505579104 in words is "five hundred five million, five hundred seventy-nine thousand, one hundred four".
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