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95248101 = 31337149443
BaseRepresentation
bin1011010110101…
…01111011100101
320122020002211110
411223111323211
5143340414401
613241255233
72234411154
oct553257345
9218202743
1095248101
1149846343
1227a94519
131696b930
14c91559b
1585669d6
hex5ad5ee5

95248101 has 32 divisors (see below), whose sum is σ = 141724800. Its totient is φ = 56519424.

The previous prime is 95248073. The next prime is 95248123. The reversal of 95248101 is 10184259.

It is a happy number.

It is not a de Polignac number, because 95248101 - 213 = 95239909 is a prime.

It is a super-4 number, since 4×952481014 (a number of 33 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95248171) 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 31 ways as a sum of consecutive naturals, for example, 214786 + ... + 215228.

It is an arithmetic number, because the mean of its divisors is an integer number (4428900).

Almost surely, 295248101 is an apocalyptic number.

It is an amenable number.

95248101 is a deficient number, since it is larger than the sum of its proper divisors (46476699).

95248101 is a wasteful number, since it uses less digits than its factorization.

95248101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645.

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 95248101 is about 9759.5133587695. The cubic root of 95248101 is about 456.6871325357.

The spelling of 95248101 in words is "ninety-five million, two hundred forty-eight thousand, one hundred one".

Divisors: 1 3 13 37 39 111 149 443 447 481 1329 1443 1937 5513 5759 5811 16391 16539 17277 49173 66007 71669 198021 213083 215007 639249 858091 2442259 2574273 7326777 31749367 95248101