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82334790 = 23251989541
BaseRepresentation
bin1001110100001…
…01010001000110
312201221001002200
410322011101012
5132034203130
612100415330
72016556056
oct472052106
9181831080
1082334790
114252638a
12236a7546
131409a015
14ad13566
157365760
hex4e85446

82334790 has 96 divisors (see below), whose sum is σ = 228290400. Its totient is φ = 20528640.

The previous prime is 82334789. The next prime is 82334803. The reversal of 82334790 is 9743328.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151920 + ... + 152460.

It is an arithmetic number, because the mean of its divisors is an integer number (2378025).

Almost surely, 282334790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82334790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114145200).

82334790 is an abundant number, since it is smaller than the sum of its proper divisors (145955610).

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

82334790 is a wasteful number, since it uses less digits than its factorization.

82334790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 82334790 is about 9073.8519935031. The cubic root of 82334790 is about 435.0386014100.

The spelling of 82334790 in words is "eighty-two million, three hundred thirty-four thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 89 90 95 114 171 178 190 267 285 342 445 534 541 570 801 855 890 1082 1335 1602 1623 1691 1710 2670 2705 3246 3382 4005 4869 5073 5410 8010 8115 8455 9738 10146 10279 15219 16230 16910 20558 24345 25365 30438 30837 48149 48690 50730 51395 61674 76095 92511 96298 102790 144447 152190 154185 185022 240745 288894 308370 433341 462555 481490 722235 866682 914831 925110 1444470 1829662 2166705 2744493 4333410 4574155 5488986 8233479 9148310 13722465 16466958 27444930 41167395 82334790