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85949903 = 138379657
BaseRepresentation
bin1010001111101…
…11110111001111
312222201201002202
411013313313033
5134000344103
612310112115
72062363544
oct507676717
9188651082
1085949903
1144575486
122494b63b
1314a64640
14b5b4bcb
15782b988
hex51f7dcf

85949903 has 8 divisors (see below), whose sum is σ = 93677808. Its totient is φ = 78381504.

The previous prime is 85949849. The next prime is 85949921. The reversal of 85949903 is 30994958.

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 85949903 - 26 = 85949839 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85949923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38750 + ... + 40907.

It is an arithmetic number, because the mean of its divisors is an integer number (11709726).

Almost surely, 285949903 is an apocalyptic number.

85949903 is a gapful number since it is divisible by the number (83) formed by its first and last digit.

85949903 is a deficient number, since it is larger than the sum of its proper divisors (7727905).

85949903 is a wasteful number, since it uses less digits than its factorization.

85949903 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79753.

The product of its (nonzero) digits is 349920, while the sum is 47.

The square root of 85949903 is about 9270.9170528055. The cubic root of 85949903 is about 441.3147709117.

The spelling of 85949903 in words is "eighty-five million, nine hundred forty-nine thousand, nine hundred three".

Divisors: 1 13 83 1079 79657 1035541 6611531 85949903