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564335145 = 3251117199337
BaseRepresentation
bin100001101000110…
…001001000101001
31110022220012021200
4201220301020221
52123432211040
6131555354413
716661524653
oct4150611051
91408805250
10564335145
1126a609390
12138bb2a09
138cbbc32a
1454d416d3
1534825630
hex21a31229

564335145 has 96 divisors (see below), whose sum is σ = 1138924800. Its totient is φ = 255467520.

The previous prime is 564335141. The next prime is 564335159. The reversal of 564335145 is 541533465.

564335145 is a `hidden beast` number, since 5 + 643 + 3 + 5 + 1 + 4 + 5 = 666.

It is not a de Polignac number, because 564335145 - 22 = 564335141 is a prime.

It is not an unprimeable number, because it can be changed into a prime (564335141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1674417 + ... + 1674753.

It is an arithmetic number, because the mean of its divisors is an integer number (11863800).

Almost surely, 2564335145 is an apocalyptic number.

564335145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

564335145 is an abundant number, since it is smaller than the sum of its proper divisors (574589655).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

564335145 is a wasteful number, since it uses less digits than its factorization.

564335145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 572 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 564335145 is about 23755.7392012962. The cubic root of 564335145 is about 826.3785437076.

The spelling of 564335145 in words is "five hundred sixty-four million, three hundred thirty-five thousand, one hundred forty-five".

Divisors: 1 3 5 9 11 15 17 33 45 51 55 85 99 153 165 187 199 255 337 495 561 597 765 935 995 1011 1683 1685 1791 2189 2805 2985 3033 3383 3707 5055 5729 6567 8415 8955 10149 10945 11121 15165 16915 17187 18535 19701 28645 30447 32835 33363 37213 50745 51561 55605 63019 67063 85935 98505 111639 152235 166815 186065 189057 201189 257805 315095 334917 335315 558195 567171 603567 737693 945285 1005945 1140071 1674585 2213079 2835855 3017835 3420213 3688465 5700355 6639237 10260639 11065395 12540781 17101065 33196185 37622343 51303195 62703905 112867029 188111715 564335145