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82440090 = 23255631627
BaseRepresentation
bin1001110100111…
…10111110011010
312202010101112200
410322132332122
5132101040330
612102551030
72020505055
oct472367632
9182111480
1082440090
1142598507
1223738476
1314105c25
14ad3da9c
157386a60
hex4e9ef9a

82440090 has 48 divisors (see below), whose sum is σ = 214856928. Its totient is φ = 21931488.

The previous prime is 82440047. The next prime is 82440101. The reversal of 82440090 is 9004428.

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 23 ways as a sum of consecutive naturals, for example, 49857 + ... + 51483.

It is an arithmetic number, because the mean of its divisors is an integer number (4476186).

Almost surely, 282440090 is an apocalyptic number.

82440090 is an abundant number, since it is smaller than the sum of its proper divisors (132416838).

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

82440090 is a wasteful number, since it uses less digits than its factorization.

82440090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2203 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 82440090 is about 9079.6525263911. The cubic root of 82440090 is about 435.2239829463.

The spelling of 82440090 in words is "eighty-two million, four hundred forty thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 563 1126 1627 1689 2815 3254 3378 4881 5067 5630 8135 8445 9762 10134 14643 16270 16890 24405 25335 29286 48810 50670 73215 146430 916001 1832002 2748003 4580005 5496006 8244009 9160010 13740015 16488018 27480030 41220045 82440090