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505421550 = 2325223471039
BaseRepresentation
bin11110001000000…
…001111011101110
31022020001002000200
4132020001323232
52013341442200
6122052534330
715345004134
oct3610017356
91266032020
10505421550
1123a32a767
121213213a6
1380932a0a
144b1a7754
152e589800
hex1e201eee

505421550 has 144 divisors (see below), whose sum is σ = 1448478720. Its totient is φ = 126054720.

The previous prime is 505421537. The next prime is 505421569. The reversal of 505421550 is 55124505.

505421550 is a `hidden beast` number, since 505 + 4 + 2 + 155 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 485931 + ... + 486969.

It is an arithmetic number, because the mean of its divisors is an integer number (10058880).

Almost surely, 2505421550 is an apocalyptic number.

505421550 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 505421550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724239360).

505421550 is an abundant number, since it is smaller than the sum of its proper divisors (943057170).

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

505421550 is a wasteful number, since it uses less digits than its factorization.

505421550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 27.

The square root of 505421550 is about 22481.5824620955. The cubic root of 505421550 is about 796.5589440976.

The spelling of 505421550 in words is "five hundred five million, four hundred twenty-one thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 30 45 46 47 50 69 75 90 94 115 138 141 150 207 225 230 235 282 345 414 423 450 470 575 690 705 846 1035 1039 1081 1150 1175 1410 1725 2070 2078 2115 2162 2350 3117 3243 3450 3525 4230 5175 5195 5405 6234 6486 7050 9351 9729 10350 10390 10575 10810 15585 16215 18702 19458 21150 23897 25975 27025 31170 32430 46755 47794 48645 48833 51950 54050 71691 77925 81075 93510 97290 97666 119485 143382 146499 155850 162150 215073 233775 238970 243225 244165 292998 358455 430146 439497 467550 486450 488330 597425 716910 732495 878994 1075365 1123159 1194850 1220825 1464990 1792275 2150730 2197485 2246318 2441650 3369477 3584550 3662475 4394970 5376825 5615795 6738954 7324950 10108431 10753650 10987425 11231590 16847385 20216862 21974850 28078975 33694770 50542155 56157950 84236925 101084310 168473850 252710775 505421550