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9253478025 = 3252114532
BaseRepresentation
bin10001001111000110…
…01101111010001001
3212212220001101111100
420213203031322021
5122422342244100
64130114052013
7445211160021
oct104743157211
925786041440
109253478025
113a19390000
121962b7a009
13b4613caac
1463ad58a81
1539259b400
hex2278cde89

9253478025 has 135 divisors (see below), whose sum is σ = 18581771845. Its totient is φ = 4401883200.

The previous prime is 9253478023. The next prime is 9253478041. The reversal of 9253478025 is 5208743529.

The square root of 9253478025 is 96195.

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

9253478025 is a `hidden beast` number, since 92 + 534 + 7 + 8 + 0 + 25 = 666.

9253478025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 69705801 + 9183772224 = 8349^2 + 95832^2 .

It is not a de Polignac number, because 9253478025 - 21 = 9253478023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (9253478023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 174593899 + ... + 174593951.

Almost surely, 29253478025 is an apocalyptic number.

9253478025 is the 96195-th square number.

9253478025 is the 48098-th centered octagonal number.

It is an amenable number.

9253478025 is an abundant number, since it is smaller than the sum of its proper divisors (9328293820).

9253478025 is an equidigital number, since it uses as much as digits as its factorization.

9253478025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The cubic root of 9253478025 is about 2099.4312915782.

The spelling of 9253478025 in words is "nine billion, two hundred fifty-three million, four hundred seventy-eight thousand, twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 53 55 75 99 121 159 165 225 265 275 363 477 495 583 605 795 825 1089 1325 1331 1749 1815 2385 2475 2809 2915 3025 3975 3993 5247 5445 6413 6655 8427 8745 9075 11925 11979 14045 14575 14641 19239 19965 25281 26235 27225 30899 32065 33275 42135 43725 43923 57717 59895 70225 70543 73205 92697 96195 99825 126405 131175 131769 154495 160325 210675 211629 219615 278091 288585 299475 339889 352715 366025 463485 480975 632025 634887 658845 772475 775973 1019667 1058145 1098075 1390455 1442925 1699445 1763575 2317425 2327919 3059001 3174435 3294225 3738779 3879865 5098335 5290725 6952275 6983757 8497225 11216337 11639595 15295005 15872175 18693895 19399325 25491675 33649011 34918785 41126569 56081685 58197975 76475025 93469475 123379707 168245055 174593925 205632845 280408425 370139121 616898535 841225275 1028164225 1850695605 3084492675 9253478025