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97648425 = 32527217521
BaseRepresentation
bin1011101000111…
…11111100101001
320210202001110100
411310133330221
5144444222200
613404540013
72263666200
oct564377451
9223661410
1097648425
1150135786
1228851609
13172cc344
14cd7c237
15888cd00
hex5d1ff29

97648425 has 108 divisors (see below), whose sum is σ = 215835516. Its totient is φ = 41932800.

The previous prime is 97648417. The next prime is 97648427. The reversal of 97648425 is 52484679.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1058841 + 96589584 = 1029^2 + 9828^2 .

It is not a de Polignac number, because 97648425 - 23 = 97648417 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (97648427) 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 107 ways as a sum of consecutive naturals, for example, 187165 + ... + 187685.

It is an arithmetic number, because the mean of its divisors is an integer number (1998477).

Almost surely, 297648425 is an apocalyptic number.

It is an amenable number.

97648425 is an abundant number, since it is smaller than the sum of its proper divisors (118187091).

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

97648425 is a wasteful number, since it uses less digits than its factorization.

97648425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 553 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 97648425 is about 9881.7217629318. The cubic root of 97648425 is about 460.4916372484.

The spelling of 97648425 in words is "ninety-seven million, six hundred forty-eight thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 15 17 21 25 35 45 49 51 63 75 85 105 119 147 153 175 225 245 255 315 357 425 441 521 525 595 735 765 833 1071 1225 1275 1563 1575 1785 2205 2499 2605 2975 3647 3675 3825 4165 4689 5355 7497 7815 8857 8925 10941 11025 12495 13025 18235 20825 23445 25529 26571 26775 32823 37485 39075 44285 54705 61999 62475 76587 79713 91175 117225 127645 132855 164115 185997 187425 221425 229761 273525 309995 382935 398565 433993 557991 638225 664275 820575 929985 1148805 1301979 1549975 1914675 1992825 2169965 2789955 3905937 4649925 5744025 6509895 10849825 13949775 19529685 32549475 97648425