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8376093441 = 34101692
BaseRepresentation
bin1111100110100000…
…10000101100000001
3210121202002122010000
413303100100230001
5114123234442231
63503052430213
7414365422332
oct76320205401
923552078100
108376093441
1136090a4a81
121759178369
13a36434111
14596608289
1534053a6e6
hex1f3410b01

8376093441 has 15 divisors (see below), whose sum is σ = 12513666451. Its totient is φ = 5583513168.

The previous prime is 8376093431. The next prime is 8376093449. The reversal of 8376093441 is 1443906738.

The square root of 8376093441 is 91521.

It is a perfect power (a square), and thus also a powerful number.

8376093441 is a `hidden beast` number, since 8 + 3 + 7 + 609 + 34 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7828533441 + 547560000 = 88479^2 + 23400^2 .

It is not a de Polignac number, because 8376093441 - 211 = 8376091393 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (8376093449) 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 14 ways as a sum of consecutive naturals, for example, 818605 + ... + 828773.

Almost surely, 28376093441 is an apocalyptic number.

8376093441 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

8376093441 is the 91521-st square number.

8376093441 is the 45761-st centered octagonal number.

It is an amenable number.

8376093441 is a deficient number, since it is larger than the sum of its proper divisors (4137573010).

8376093441 is an frugal number, since it uses more digits than its factorization.

8376093441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20350 (or 10172 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The cubic root of 8376093441 is about 2030.8624257443.

The spelling of 8376093441 in words is "eight billion, three hundred seventy-six million, ninety-three thousand, four hundred forty-one".

Divisors: 1 3 9 27 81 10169 30507 91521 274563 823689 103408561 310225683 930677049 2792031147 8376093441