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505505500 = 225323113389
BaseRepresentation
bin11110001000010…
…110011011011100
31022020012100011221
4132020112123130
52013402134000
6122054423124
715345503653
oct3610263334
91266170157
10505505500
1123a387845
12121361aa4
1380961ca6
144b1ca19a
152e5a461a
hex1e2166dc

505505500 has 96 divisors (see below), whose sum is σ = 1165207680. Its totient is φ = 191206400.

The previous prime is 505505479. The next prime is 505505501. The reversal of 505505500 is 5505505.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505505501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1299306 + ... + 1299694.

It is an arithmetic number, because the mean of its divisors is an integer number (12137580).

Almost surely, 2505505500 is an apocalyptic number.

505505500 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 505505500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582603840).

505505500 is an abundant number, since it is smaller than the sum of its proper divisors (659702180).

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

505505500 is a wasteful number, since it uses less digits than its factorization.

505505500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 3125, while the sum is 25.

The square root of 505505500 is about 22483.4494684423. The cubic root of 505505500 is about 796.6030441967.

The spelling of 505505500 in words is "five hundred five million, five hundred five thousand, five hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 113 115 125 226 230 250 389 452 460 500 565 575 778 1130 1150 1556 1945 2260 2300 2599 2825 2875 3890 5198 5650 5750 7780 8947 9725 10396 11300 11500 12995 14125 17894 19450 25990 28250 35788 38900 43957 44735 48625 51980 56500 64975 87914 89470 97250 129950 175828 178940 194500 219785 223675 259900 324875 439570 447350 649750 879140 894700 1011011 1098925 1118375 1299500 2022022 2197850 2236750 4044044 4395700 4473500 5055055 5494625 10110110 10989250 20220220 21978500 25275275 50550550 101101100 126376375 252752750 505505500