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77578345 = 5131193513
BaseRepresentation
bin1001001111111…
…00000001101001
312101222101111001
410213330001221
5124330001340
611410435001
71631255635
oct447740151
9171871431
1077578345
113a877839
1221b92a61
13130c3060
14a435dc5
156c2629a
hex49fc069

77578345 has 8 divisors (see below), whose sum is σ = 100255176. Its totient is φ = 57288576.

The previous prime is 77578343. The next prime is 77578351. The reversal of 77578345 is 54387577.

It can be written as a sum of positive squares in 4 ways, for example, as 5345344 + 72233001 = 2312^2 + 8499^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 77578345 - 21 = 77578343 is a prime.

It is a super-2 number, since 2×775783452 = 12036799225878050, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 77578295 and 77578304.

It is not an unprimeable number, because it can be changed into a prime (77578343) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 596692 + ... + 596821.

It is an arithmetic number, because the mean of its divisors is an integer number (12531897).

Almost surely, 277578345 is an apocalyptic number.

It is an amenable number.

77578345 is a deficient number, since it is larger than the sum of its proper divisors (22676831).

77578345 is a wasteful number, since it uses less digits than its factorization.

77578345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193531.

The product of its digits is 823200, while the sum is 46.

The square root of 77578345 is about 8807.8570038347. The cubic root of 77578345 is about 426.4945672969.

The spelling of 77578345 in words is "seventy-seven million, five hundred seventy-eight thousand, three hundred forty-five".

Divisors: 1 5 13 65 1193513 5967565 15515669 77578345