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827794949 = 6119370313
BaseRepresentation
bin110001010101110…
…010011000000101
32010200122100012012
4301111302120011
53143403414244
6214050304005
726341066232
oct6125623005
92120570165
10827794949
113952a5663
121b1288005
131026652c7
147bd22789
154ca1789e
hex31572605

827794949 has 8 divisors (see below), whose sum is σ = 845736792. Its totient is φ = 809994240.

The previous prime is 827794931. The next prime is 827794951. The reversal of 827794949 is 949497728.

It can be written as a sum of positive squares in 4 ways, for example, as 146845924 + 680949025 = 12118^2 + 26095^2 .

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 827794949 - 224 = 811017733 is a prime.

It is a super-3 number, since 3×8277949493 (a number of 28 digits) contains 333 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 (827793949) 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, 23384 + ... + 46929.

It is an arithmetic number, because the mean of its divisors is an integer number (105717099).

Almost surely, 2827794949 is an apocalyptic number.

It is an amenable number.

827794949 is a deficient number, since it is larger than the sum of its proper divisors (17941843).

827794949 is a wasteful number, since it uses less digits than its factorization.

827794949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70567.

The product of its digits is 9144576, while the sum is 59.

The square root of 827794949 is about 28771.4259118313. The cubic root of 827794949 is about 938.9466656637.

The spelling of 827794949 in words is "eight hundred twenty-seven million, seven hundred ninety-four thousand, nine hundred forty-nine".

Divisors: 1 61 193 11773 70313 4289093 13570409 827794949