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85850349 = 31312717333
BaseRepresentation
bin1010001110111…
…11100011101101
312222112122112120
411013133203231
5133434202344
612304023153
72061500364
oct507374355
9188478476
1085850349
1144507702
1224901ab9
1314a2b230
14b58a7db
15780c219
hex51df8ed

85850349 has 16 divisors (see below), whose sum is σ = 124250112. Its totient is φ = 52411968.

The previous prime is 85850311. The next prime is 85850371. The reversal of 85850349 is 94305858.

It is not a de Polignac number, because 85850349 - 29 = 85849837 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 85850349.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85850309) 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 15 ways as a sum of consecutive naturals, for example, 3714 + ... + 13619.

It is an arithmetic number, because the mean of its divisors is an integer number (7765632).

Almost surely, 285850349 is an apocalyptic number.

85850349 is the 4953-rd nonagonal number.

It is an amenable number.

85850349 is a deficient number, since it is larger than the sum of its proper divisors (38399763).

85850349 is a wasteful number, since it uses less digits than its factorization.

85850349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17476.

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 85850349 is about 9265.5463411501. The cubic root of 85850349 is about 441.1443164843.

The spelling of 85850349 in words is "eighty-five million, eight hundred fifty thousand, three hundred forty-nine".

Divisors: 1 3 13 39 127 381 1651 4953 17333 51999 225329 675987 2201291 6603873 28616783 85850349