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76378905 = 3251697309
BaseRepresentation
bin1001000110101…
…11001100011001
312022201110011100
410203113030121
5124023111110
611325022013
71615132011
oct443271431
9168643140
1076378905
113a128669
12216b4909
1312a93125
14a202c41
156a8abc0
hex48d7319

76378905 has 12 divisors (see below), whose sum is σ = 132390180. Its totient is φ = 40735392.

The previous prime is 76378877. The next prime is 76378919. The reversal of 76378905 is 50987367.

It is a happy number.

76378905 is a `hidden beast` number, since 7 + 637 + 8 + 9 + 0 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15492096 + 60886809 = 3936^2 + 7803^2 .

It is not a de Polignac number, because 76378905 - 25 = 76378873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 1697309 = 76378905 / (7 + 6 + 3 + 7 + 8 + 9 + 0 + 5).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 848610 + ... + 848699.

It is an arithmetic number, because the mean of its divisors is an integer number (11032515).

Almost surely, 276378905 is an apocalyptic number.

It is an amenable number.

76378905 is a deficient number, since it is larger than the sum of its proper divisors (56011275).

76378905 is a wasteful number, since it uses less digits than its factorization.

76378905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697320 (or 1697317 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 76378905 is about 8739.5025602147. The cubic root of 76378905 is about 424.2851280959.

The spelling of 76378905 in words is "seventy-six million, three hundred seventy-eight thousand, nine hundred five".

Divisors: 1 3 5 9 15 45 1697309 5091927 8486545 15275781 25459635 76378905