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85341008 = 2419412167
BaseRepresentation
bin1010001011000…
…11001101010000
312221120202212002
411011203031100
5133321403013
612245053132
72054246414
oct505431520
9187522762
1085341008
1144199a65
12246b71a8
13148b044c
14b496d44
15775b358
hex5163350

85341008 has 60 divisors (see below), whose sum is σ = 179467680. Its totient is φ = 39202560.

The previous prime is 85340993. The next prime is 85341029. The reversal of 85341008 is 80014358.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 510941 + ... + 511107.

It is an arithmetic number, because the mean of its divisors is an integer number (2991128).

Almost surely, 285341008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85341008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89733840).

85341008 is an abundant number, since it is smaller than the sum of its proper divisors (94126672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85341008 is a wasteful number, since it uses less digits than its factorization.

85341008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 85341008 is about 9238.0197012130. The cubic root of 85341008 is about 440.2701646606.

The spelling of 85341008 in words is "eighty-five million, three hundred forty-one thousand, eight".

Divisors: 1 2 4 8 16 19 38 41 76 82 152 164 167 304 328 334 656 668 779 1336 1558 1681 2672 3116 3173 3362 6232 6346 6724 6847 12464 12692 13448 13694 25384 26896 27388 31939 50768 54776 63878 109552 127756 130093 255512 260186 280727 511024 520372 561454 1040744 1122908 2081488 2245816 4491632 5333813 10667626 21335252 42670504 85341008