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85341536 = 2572371471
BaseRepresentation
bin1010001011000…
…11010101100000
312221120210120122
411011203111200
5133321412121
612245055412
72054251100
oct505432540
9187523518
1085341536
114419a3a5
12246b7568
13148b0767
14b497200
15775b5ab
hex5163560

85341536 has 72 divisors (see below), whose sum is σ = 200866176. Its totient is φ = 35562240.

The previous prime is 85341491. The next prime is 85341563. The reversal of 85341536 is 63514358.

It is a junction number, because it is equal to n+sod(n) for n = 85341496 and 85341505.

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, 57281 + ... + 58751.

It is an arithmetic number, because the mean of its divisors is an integer number (2789808).

Almost surely, 285341536 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 85341536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100433088).

85341536 is an abundant number, since it is smaller than the sum of its proper divisors (115524640).

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

85341536 is a wasteful number, since it uses less digits than its factorization.

85341536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 1517 counting only the distinct ones).

The product of its digits is 43200, while the sum is 35.

The square root of 85341536 is about 9238.0482787221. The cubic root of 85341536 is about 440.2710726343.

The spelling of 85341536 in words is "eighty-five million, three hundred forty-one thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 37 49 56 74 98 112 148 196 224 259 296 392 518 592 784 1036 1184 1471 1568 1813 2072 2942 3626 4144 5884 7252 8288 10297 11768 14504 20594 23536 29008 41188 47072 54427 58016 72079 82376 108854 144158 164752 217708 288316 329504 380989 435416 576632 761978 870832 1153264 1523956 1741664 2306528 2666923 3047912 5333846 6095824 10667692 12191648 21335384 42670768 85341536