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96838757 = 313457677
BaseRepresentation
bin1011100010110…
…10010001100101
320202012220210122
411301122101211
5144242320012
613335331325
72254054511
oct561322145
9222186718
1096838757
114a732434
1228520b45
13170a7952
14cc0b141
15877ce72
hex5c5a465

96838757 has 8 divisors (see below), whose sum is σ = 97504536. Its totient is φ = 96175872.

The previous prime is 96838747. The next prime is 96838759. The reversal of 96838757 is 75783869.

It can be written as a sum of positive squares in 4 ways, for example, as 30758116 + 66080641 = 5546^2 + 8129^2 .

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 96838757 - 210 = 96837733 is a prime.

It is a super-3 number, since 3×968387573 (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 96838699 and 96838708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96838759) 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, 142703 + ... + 143379.

It is an arithmetic number, because the mean of its divisors is an integer number (12188067).

Almost surely, 296838757 is an apocalyptic number.

It is an amenable number.

96838757 is a deficient number, since it is larger than the sum of its proper divisors (665779).

96838757 is a wasteful number, since it uses less digits than its factorization.

96838757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447.

The product of its digits is 2540160, while the sum is 53.

The square root of 96838757 is about 9840.6685240384. The cubic root of 96838757 is about 459.2153558023.

The spelling of 96838757 in words is "ninety-six million, eight hundred thirty-eight thousand, seven hundred fifty-seven".

Divisors: 1 313 457 677 143041 211901 309389 96838757