Search a number
-
+
285000534450 = 23352355759351
BaseRepresentation
bin1000010010110110101…
…10110000100110110010
31000020122011210020012000
410021123112300212302
514132140114100300
6334532154314430
726406402400152
oct4113326604662
91006564706160
10285000534450
11aa96040a885
124729a128a16
1320b4c43bbc8
14db1901a762
157630952c00
hex425b5b09b2

285000534450 has 96 divisors (see below), whose sum is σ = 785568827520. Its totient is φ = 75977496000.

The previous prime is 285000534431. The next prime is 285000534487. The reversal of 285000534450 is 54435000582.

285000534450 is a `hidden beast` number, since 2 + 85 + 0 + 0 + 0 + 534 + 45 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4772275 + ... + 4831625.

It is an arithmetic number, because the mean of its divisors is an integer number (8183008620).

Almost surely, 2285000534450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285000534450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392784413760).

285000534450 is an abundant number, since it is smaller than the sum of its proper divisors (500568293070).

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

285000534450 is a wasteful number, since it uses less digits than its factorization.

285000534450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62929 (or 62918 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 285000534450 in words is "two hundred eighty-five billion, five hundred thirty-four thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 450 675 1350 3557 7114 10671 17785 21342 32013 35570 53355 59351 64026 88925 96039 106710 118702 160065 177850 178053 192078 266775 296755 320130 356106 480195 533550 534159 593510 800325 890265 960390 1068318 1483775 1600650 1602477 1780530 2400975 2670795 2967550 3204954 4451325 4801950 5341590 8012385 8902650 13353975 16024770 26707950 40061925 80123850 211111507 422223014 633334521 1055557535 1266669042 1900003563 2111115070 3166672605 3800007126 5277787675 5700010689 6333345210 9500017815 10555575350 11400021378 15833363025 19000035630 28500053445 31666726050 47500089075 57000106890 95000178150 142500267225 285000534450