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108916857 = 3272312257
BaseRepresentation
bin1100111110111…
…11000001111001
321120221112211200
412133133001321
5210340314412
614450244413
72461530600
oct637370171
9246845750
10108916857
1156531935
1230586709
131974635a
1410672a37
1598669dc
hex67df079

108916857 has 54 divisors (see below), whose sum is σ = 189839754. Its totient is φ = 59996160.

The previous prime is 108916853. The next prime is 108916859. The reversal of 108916857 is 758619801.

It can be written as a sum of positive squares in only one way, i.e., 108493056 + 423801 = 10416^2 + 651^2 .

It is not a de Polignac number, because 108916857 - 22 = 108916853 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108916853) 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 53 ways as a sum of consecutive naturals, for example, 423673 + ... + 423929.

It is an arithmetic number, because the mean of its divisors is an integer number (3515551).

Almost surely, 2108916857 is an apocalyptic number.

It is an amenable number.

108916857 is a deficient number, since it is larger than the sum of its proper divisors (80922897).

108916857 is a wasteful number, since it uses less digits than its factorization.

108916857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The square root of 108916857 is about 10436.3239217648. The cubic root of 108916857 is about 477.5641308929.

The spelling of 108916857 in words is "one hundred eight million, nine hundred sixteen thousand, eight hundred fifty-seven".

Divisors: 1 3 7 9 21 31 49 63 93 147 217 257 279 441 651 771 961 1519 1799 1953 2313 2883 4557 5397 6727 7967 8649 12593 13671 16191 20181 23901 37779 47089 55769 60543 71703 113337 141267 167307 246977 390383 423801 501921 740931 1171149 1728839 2222793 3513447 5186517 12101873 15559551 36305619 108916857