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564015441 = 31117091377
BaseRepresentation
bin100001100111100…
…011000101010001
31110022021221201210
4201213203011101
52123341443231
6131544450333
716656023613
oct4147430521
91408257653
10564015441
1126a410170
12138a799a9
138cb09962
1454c9adb3
15347b0a46
hex219e3151

564015441 has 8 divisors (see below), whose sum is σ = 820386144. Its totient is φ = 341827520.

The previous prime is 564015427. The next prime is 564015467. The reversal of 564015441 is 144510465.

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 564015441 - 29 = 564014929 is a prime.

It is a super-3 number, since 3×5640154413 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 564015399 and 564015408.

It is not an unprimeable number, because it can be changed into a prime (564015041) 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, 8545656 + ... + 8545721.

It is an arithmetic number, because the mean of its divisors is an integer number (102548268).

Almost surely, 2564015441 is an apocalyptic number.

It is an amenable number.

564015441 is a deficient number, since it is larger than the sum of its proper divisors (256370703).

564015441 is a wasteful number, since it uses less digits than its factorization.

564015441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17091391.

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 564015441 is about 23749.0092635461. The cubic root of 564015441 is about 826.2224624414. Note that the first 3 decimals are identical.

The spelling of 564015441 in words is "five hundred sixty-four million, fifteen thousand, four hundred forty-one".

Divisors: 1 3 11 33 17091377 51274131 188005147 564015441