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93205045 = 51812569
BaseRepresentation
bin1011000111000…
…11001000110101
320111101022021201
411203203020311
5142330030140
613125412501
72211141553
oct543431065
9214338251
1093205045
114868036a
122726a131
1316404a1b
14c542bd3
1582b149a
hex58e3235

93205045 has 12 divisors (see below), whose sum is σ = 112665060. Its totient is φ = 74021760.

The previous prime is 93205031. The next prime is 93205081. The reversal of 93205045 is 54050239.

It can be written as a sum of positive squares in 6 ways, for example, as 60326289 + 32878756 = 7767^2 + 5734^2 .

It is not a de Polignac number, because 93205045 - 211 = 93202997 is a prime.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 163521 + ... + 164089.

It is an arithmetic number, because the mean of its divisors is an integer number (9388755).

Almost surely, 293205045 is an apocalyptic number.

It is an amenable number.

93205045 is a deficient number, since it is larger than the sum of its proper divisors (19460015).

93205045 is an equidigital number, since it uses as much as digits as its factorization.

93205045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 93205045 is about 9654.2759956405. The cubic root of 93205045 is about 453.3982158551.

It can be divided in two parts, 9320 and 5045, that added together give a triangular number (14365 = T169).

The spelling of 93205045 in words is "ninety-three million, two hundred five thousand, forty-five".

Divisors: 1 5 181 569 905 2845 32761 102989 163805 514945 18641009 93205045