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827148114 = 232133534821
BaseRepresentation
bin110001010011010…
…100011101010010
32010122102110220100
4301103110131102
53143222214424
6214024353230
726332433352
oct6123243522
92118373810
10827148114
113949a3691
121b1015816
13102499a70
147bbd4b62
154c93adc9
hex314d4752

827148114 has 24 divisors (see below), whose sum is σ = 1930012812. Its totient is φ = 254507040.

The previous prime is 827148041. The next prime is 827148131. The reversal of 827148114 is 411841728.

It can be written as a sum of positive squares in 2 ways, for example, as 635796225 + 191351889 = 25215^2 + 13833^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1767177 + ... + 1767644.

Almost surely, 2827148114 is an apocalyptic number.

827148114 is an abundant number, since it is smaller than the sum of its proper divisors (1102864698).

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

827148114 is a wasteful number, since it uses less digits than its factorization.

827148114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3534842 (or 3534839 counting only the distinct ones).

The product of its digits is 14336, while the sum is 36.

The square root of 827148114 is about 28760.1827880144. The cubic root of 827148114 is about 938.7020391300.

The spelling of 827148114 in words is "eight hundred twenty-seven million, one hundred forty-eight thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 3534821 7069642 10604463 21208926 31813389 45952673 63626778 91905346 137858019 275716038 413574057 827148114