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82410384 = 2437245269
BaseRepresentation
bin1001110100101…
…11101110010000
312202001212210110
410322113232100
5132044113014
612102201320
72020322340
oct472275620
9182055713
1082410384
1142578161
1223723240
13140c5554
14ad32d20
15737cd59
hex4e97b90

82410384 has 40 divisors (see below), whose sum is σ = 243307840. Its totient is φ = 23545728.

The previous prime is 82410379. The next prime is 82410409. The reversal of 82410384 is 48301428.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122299 + ... + 122970.

It is an arithmetic number, because the mean of its divisors is an integer number (6082696).

Almost surely, 282410384 is an apocalyptic number.

82410384 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

82410384 is an abundant number, since it is smaller than the sum of its proper divisors (160897456).

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

82410384 is a wasteful number, since it uses less digits than its factorization.

82410384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245287 (or 245281 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 82410384 is about 9078.0165234483. The cubic root of 82410384 is about 435.1717012759.

The spelling of 82410384 in words is "eighty-two million, four hundred ten thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 245269 490538 735807 981076 1471614 1716883 1962152 2943228 3433766 3924304 5150649 5886456 6867532 10301298 11772912 13735064 20602596 27470128 41205192 82410384