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78056333 = 1741532113
BaseRepresentation
bin1001010011100…
…00101110001101
312102212200011022
410221300232031
5124440300313
611425003525
71635316325
oct451605615
9172780138
1078056333
1140073973
12221835a5
131322c7a4
14a51c285
156cbcc08
hex4a70b8d

78056333 has 16 divisors (see below), whose sum is σ = 86301936. Its totient is φ = 70287360.

The previous prime is 78056327. The next prime is 78056339. The reversal of 78056333 is 33365087.

It is an interprime number because it is at equal distance from previous prime (78056327) and next prime (78056339).

It can be written as a sum of positive squares in 8 ways, for example, as 11682724 + 66373609 = 3418^2 + 8147^2 .

It is a cyclic number.

It is not a de Polignac number, because 78056333 - 216 = 77990797 is a prime.

It is a super-2 number, since 2×780563332 = 12185582242813778, 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 = 78056293 and 78056302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78056339) 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 15 ways as a sum of consecutive naturals, for example, 35885 + ... + 37997.

It is an arithmetic number, because the mean of its divisors is an integer number (5393871).

Almost surely, 278056333 is an apocalyptic number.

It is an amenable number.

78056333 is a deficient number, since it is larger than the sum of its proper divisors (8245603).

78056333 is a wasteful number, since it uses less digits than its factorization.

78056333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224.

The product of its (nonzero) digits is 45360, while the sum is 35.

The square root of 78056333 is about 8834.9495188145. The cubic root of 78056333 is about 427.3687031103.

The spelling of 78056333 in words is "seventy-eight million, fifty-six thousand, three hundred thirty-three".

Divisors: 1 17 41 53 697 901 2113 2173 35921 36941 86633 111989 1472761 1903813 4591549 78056333