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76093645 = 537421977
BaseRepresentation
bin1001000100100…
…01100011001101
312022011221212011
410202101203031
5123434444040
611314541221
71612533235
oct442214315
9168157764
1076093645
1139a53311
1221597811
13129c3334
14a16acc5
156a313ea
hex48918cd

76093645 has 16 divisors (see below), whose sum is σ = 94099248. Its totient is φ = 59028480.

The previous prime is 76093643. The next prime is 76093673. The reversal of 76093645 is 54639067.

It can be written as a sum of positive squares in 8 ways, for example, as 299209 + 75794436 = 547^2 + 8706^2 .

It is not a de Polignac number, because 76093645 - 21 = 76093643 is a prime.

It is a super-3 number, since 3×760936453 (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 76093598 and 76093607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76093643) 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 15 ways as a sum of consecutive naturals, for example, 77397 + ... + 78373.

It is an arithmetic number, because the mean of its divisors is an integer number (5881203).

Almost surely, 276093645 is an apocalyptic number.

It is an amenable number.

76093645 is a deficient number, since it is larger than the sum of its proper divisors (18005603).

76093645 is a wasteful number, since it uses less digits than its factorization.

76093645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440.

The product of its (nonzero) digits is 136080, while the sum is 40.

The square root of 76093645 is about 8723.1671427298. The cubic root of 76093645 is about 423.7562623254.

The spelling of 76093645 in words is "seventy-six million, ninety-three thousand, six hundred forty-five".

Divisors: 1 5 37 185 421 977 2105 4885 15577 36149 77885 180745 411317 2056585 15218729 76093645