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82496840 = 2358812341
BaseRepresentation
bin1001110101011…
…00110101001000
312202020021101112
410322230311020
5132104344330
612104105452
72021132366
oct472546510
9182207345
1082496840
1142627108
1223765288
13141259ca
14ad56636
157398795
hex4eacd48

82496840 has 32 divisors (see below), whose sum is σ = 185907960. Its totient is φ = 32947200.

The previous prime is 82496819. The next prime is 82496861. The reversal of 82496840 is 4869428.

It is an interprime number because it is at equal distance from previous prime (82496819) and next prime (82496861).

It can be written as a sum of positive squares in 4 ways, for example, as 59013124 + 23483716 = 7682^2 + 4846^2 .

It is a super-3 number, since 3×824968403 (a number of 25 digits) contains 333 as substring.

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, 34070 + ... + 36410.

Almost surely, 282496840 is an apocalyptic number.

It is an amenable number.

82496840 is an abundant number, since it is smaller than the sum of its proper divisors (103411120).

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

82496840 is a wasteful number, since it uses less digits than its factorization.

82496840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3233 (or 3229 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The square root of 82496840 is about 9082.7771083518. Note that the first 3 decimals coincide. The cubic root of 82496840 is about 435.3238263428.

The spelling of 82496840 in words is "eighty-two million, four hundred ninety-six thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 881 1762 2341 3524 4405 4682 7048 8810 9364 11705 17620 18728 23410 35240 46820 93640 2062421 4124842 8249684 10312105 16499368 20624210 41248420 82496840