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76306181 = 7461521
BaseRepresentation
bin1001000110001…
…01011100000101
312022120202101212
410203011130011
5124013244211
611323301205
71614410000
oct443053405
9168522355
1076306181
113a088a66
122167a805
1312a68cb3
14a1c4537
156a7438b
hex48c5705

76306181 has 20 divisors (see below), whose sum is σ = 90651564. Its totient is φ = 64209600.

The previous prime is 76306171. The next prime is 76306187. The reversal of 76306181 is 18160367.

It can be written as a sum of positive squares in 2 ways, for example, as 10144225 + 66161956 = 3185^2 + 8134^2 .

It is not a de Polignac number, because 76306181 - 214 = 76289797 is a prime.

It is a super-2 number, since 2×763061812 = 11645266517609522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76306187) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 146201 + ... + 146721.

Almost surely, 276306181 is an apocalyptic number.

It is an amenable number.

76306181 is a deficient number, since it is larger than the sum of its proper divisors (14345383).

76306181 is an frugal number, since it uses more digits than its factorization.

76306181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 76306181 is about 8735.3409206510. The cubic root of 76306181 is about 424.1504246290.

The spelling of 76306181 in words is "seventy-six million, three hundred six thousand, one hundred eighty-one".

Divisors: 1 7 49 61 343 427 521 2401 2989 3647 20923 25529 31781 146461 178703 222467 1250921 1557269 10900883 76306181