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764286090 = 235233135731
BaseRepresentation
bin101101100011100…
…001010010001010
31222021010202102020
4231203201102022
53031124123330
6203501145310
724640216221
oct5543412212
91867122366
10764286090
113624684a7
12193b5b236
13c245a1b9
147370dcb8
1547170210
hex2d8e148a

764286090 has 64 divisors (see below), whose sum is σ = 1975836672. Its totient is φ = 188654400.

The previous prime is 764286041. The next prime is 764286101. The reversal of 764286090 is 90682467.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3525 + ... + 39255.

It is an arithmetic number, because the mean of its divisors is an integer number (30872448).

Almost surely, 2764286090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 764286090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987918336).

764286090 is an abundant number, since it is smaller than the sum of its proper divisors (1211550582).

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

764286090 is a wasteful number, since it uses less digits than its factorization.

764286090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35795.

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 764286090 is about 27645.7246242525. The cubic root of 764286090 is about 914.2928394976.

The spelling of 764286090 in words is "seven hundred sixty-four million, two hundred eighty-six thousand, ninety".

Divisors: 1 2 3 5 6 10 15 23 30 31 46 62 69 93 115 138 155 186 230 310 345 465 690 713 930 1426 2139 3565 4278 7130 10695 21390 35731 71462 107193 178655 214386 357310 535965 821813 1071930 1107661 1643626 2215322 2465439 3322983 4109065 4930878 5538305 6645966 8218130 11076610 12327195 16614915 24654390 25476203 33229830 50952406 76428609 127381015 152857218 254762030 382143045 764286090