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96518385 = 3551937113
BaseRepresentation
bin1011100000011…
…00000011110001
320201121122100000
411300030003301
5144202042020
613324420213
72251251465
oct560140361
9221548300
1096518385
114a533767
12283a7669
1316cc4b92
14cb664a5
158718090
hex5c0c0f1

96518385 has 96 divisors (see below), whose sum is σ = 189221760. Its totient is φ = 47029248.

The previous prime is 96518381. The next prime is 96518413. The reversal of 96518385 is 58381569.

It is not a de Polignac number, because 96518385 - 22 = 96518381 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 96518385.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96518381) 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, 854089 + ... + 854201.

It is an arithmetic number, because the mean of its divisors is an integer number (1971060).

Almost surely, 296518385 is an apocalyptic number.

96518385 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

96518385 is a deficient number, since it is larger than the sum of its proper divisors (92703375).

96518385 is a wasteful number, since it uses less digits than its factorization.

96518385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 177 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 96518385 is about 9824.3770794896. The cubic root of 96518385 is about 458.7083883983.

The spelling of 96518385 in words is "ninety-six million, five hundred eighteen thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 19 27 37 45 57 81 95 111 113 135 171 185 243 285 333 339 405 513 555 565 703 855 999 1017 1215 1539 1665 1695 2109 2147 2565 2997 3051 3515 4181 4617 4995 5085 6327 6441 7695 8991 9153 10545 10735 12543 14985 15255 18981 19323 20905 23085 27459 31635 32205 37629 44955 45765 56943 57969 62715 79439 94905 96615 112887 137295 170829 173907 188145 238317 284715 289845 338661 397195 521721 564435 714951 854145 869535 1015983 1191585 1693305 2144853 2608605 3574755 5079915 6434559 10724265 19303677 32172795 96518385