Search a number
-
+
526113090 = 233531239263
BaseRepresentation
bin11111010110111…
…101100101000010
31100122222022111000
4133112331211002
52034141104330
6124112232430
716015613256
oct3726754502
91318868430
10526113090
1124aa82608
1212823b716
1384cc8b29
144dc32266
15312c5560
hex1f5bd942

526113090 has 128 divisors (see below), whose sum is σ = 1459814400. Its totient is φ = 134688960.

The previous prime is 526113083. The next prime is 526113103. The reversal of 526113090 is 90311625.

526113090 is a `hidden beast` number, since 526 + 1 + 130 + 9 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2000299 + ... + 2000561.

It is an arithmetic number, because the mean of its divisors is an integer number (11404800).

Almost surely, 2526113090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 526113090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729907200).

526113090 is an abundant number, since it is smaller than the sum of its proper divisors (933701310).

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

526113090 is a wasteful number, since it uses less digits than its factorization.

526113090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 526113090 is about 22937.1552290165. The cubic root of 526113090 is about 807.2840447854.

The spelling of 526113090 in words is "five hundred twenty-six million, one hundred thirteen thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 135 155 186 239 263 270 279 310 465 478 526 558 717 789 837 930 1195 1315 1395 1434 1578 1674 2151 2367 2390 2630 2790 3585 3945 4185 4302 4734 6453 7101 7170 7409 7890 8153 8370 10755 11835 12906 14202 14818 16306 21510 22227 23670 24459 32265 35505 37045 40765 44454 48918 62857 64530 66681 71010 73377 74090 81530 111135 122295 125714 133362 146754 188571 200043 220131 222270 244590 314285 333405 366885 377142 400086 440262 565713 628570 666810 733770 942855 1000215 1100655 1131426 1697139 1885710 1948567 2000430 2201310 2828565 3394278 3897134 5657130 5845701 8485695 9742835 11691402 16971390 17537103 19485670 29228505 35074206 52611309 58457010 87685515 105222618 175371030 263056545 526113090