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82827904 = 273717489
BaseRepresentation
bin1001110111111…
…01101010000000
312202212002112011
410323331222000
5132200443104
612115142304
72024011525
oct473755200
9182762464
1082827904
1142832915
12238a4994
13142105c3
14b00114c
157411904
hex4efda80

82827904 has 32 divisors (see below), whose sum is σ = 169478100. Its totient is φ = 40292352.

The previous prime is 82827881. The next prime is 82827907. The reversal of 82827904 is 40972828.

It can be written as a sum of positive squares in 2 ways, for example, as 81000000 + 1827904 = 9000^2 + 1352^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (82827907) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4009 + ... + 13480.

Almost surely, 282827904 is an apocalyptic number.

It is an amenable number.

82827904 is an abundant number, since it is smaller than the sum of its proper divisors (86650196).

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

82827904 is a wasteful number, since it uses less digits than its factorization.

82827904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17540 (or 17528 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 82827904 is about 9100.9836830971. The cubic root of 82827904 is about 435.9053746336.

The spelling of 82827904 in words is "eighty-two million, eight hundred twenty-seven thousand, nine hundred four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 296 592 1184 2368 4736 17489 34978 69956 139912 279824 559648 647093 1119296 1294186 2238592 2588372 5176744 10353488 20706976 41413952 82827904