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82497312 = 253395483
BaseRepresentation
bin1001110101011…
…00111100100000
312202020022001000
410322230330200
5132104403222
612104112000
72021133642
oct472547440
9182208030
1082497312
11426274a7
1223765600
1314125ca1
14ad56892
1573989ac
hex4eacf20

82497312 has 48 divisors (see below), whose sum is σ = 240619680. Its totient is φ = 27498816.

The previous prime is 82497287. The next prime is 82497323. The reversal of 82497312 is 21379428.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 7 ways as a sum of consecutive naturals, for example, 46878 + ... + 48605.

It is an arithmetic number, because the mean of its divisors is an integer number (5012910).

Almost surely, 282497312 is an apocalyptic number.

It is an amenable number.

82497312 is an abundant number, since it is smaller than the sum of its proper divisors (158122368).

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

82497312 is a wasteful number, since it uses less digits than its factorization.

82497312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95502 (or 95488 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 82497312 is about 9082.8030915571. The cubic root of 82497312 is about 435.3246565664.

The spelling of 82497312 in words is "eighty-two million, four hundred ninety-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 95483 190966 286449 381932 572898 763864 859347 1145796 1527728 1718694 2291592 2578041 3055456 3437388 4583184 5156082 6874776 9166368 10312164 13749552 20624328 27499104 41248656 82497312