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82153640 = 2352053841
BaseRepresentation
bin1001110010110…
…01000010101000
312201120211121102
410321121002220
5132012404030
612052500532
72015202662
oct471310250
9181524542
1082153640
1142412278
122361a748
131403572a
14aca7532
15732bc45
hex4e590a8

82153640 has 16 divisors (see below), whose sum is σ = 184845780. Its totient is φ = 32861440.

The previous prime is 82153619. The next prime is 82153651. The reversal of 82153640 is 4635128.

It can be written as a sum of positive squares in 2 ways, for example, as 82047364 + 106276 = 9058^2 + 326^2 .

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 3 ways as a sum of consecutive naturals, for example, 1026881 + ... + 1026960.

Almost surely, 282153640 is an apocalyptic number.

It is an amenable number.

82153640 is an abundant number, since it is smaller than the sum of its proper divisors (102692140).

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

82153640 is a wasteful number, since it uses less digits than its factorization.

82153640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053852 (or 2053848 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 82153640 is about 9063.8645179636. The cubic root of 82153640 is about 434.7193151169.

Adding to 82153640 its reverse (4635128), we get a palindrome (86788768).

The spelling of 82153640 in words is "eighty-two million, one hundred fifty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 2053841 4107682 8215364 10269205 16430728 20538410 41076820 82153640