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505005500 = 22533121051
BaseRepresentation
bin11110000110011…
…100010110111100
31022012020221022102
4132012130112330
52013240134000
6122040004232
715341322146
oct3606342674
91265227272
10505005500
1123a07611a
12121160678
138081852c
144b0d9c96
152e5063d5
hex1e19c5bc

505005500 has 72 divisors (see below), whose sum is σ = 1140742512. Its totient is φ = 195300000.

The previous prime is 505005493. The next prime is 505005517. The reversal of 505005500 is 5500505.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 479975 + ... + 481025.

It is an arithmetic number, because the mean of its divisors is an integer number (15843646).

Almost surely, 2505005500 is an apocalyptic number.

505005500 is a gapful number since it is divisible by the number (50) 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 505005500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570371256).

505005500 is an abundant number, since it is smaller than the sum of its proper divisors (635737012).

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

505005500 is a wasteful number, since it uses less digits than its factorization.

505005500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 625, while the sum is 20.

The square root of 505005500 is about 22472.3274273049. The cubic root of 505005500 is about 796.3403151624.

It can be divided in two parts, 505005 and 500, that added together give a palindrome (505505).

The spelling of 505005500 in words is "five hundred five million, five thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 125 155 250 310 500 620 775 961 1051 1550 1922 2102 3100 3844 3875 4204 4805 5255 7750 9610 10510 15500 19220 21020 24025 26275 32581 48050 52550 65162 96100 105100 120125 130324 131375 162905 240250 262750 325810 480500 525500 651620 814525 1010011 1629050 2020022 3258100 4040044 4072625 5050055 8145250 10100110 16290500 20200220 25250275 50500550 101001100 126251375 252502750 505005500