Search a number
-
+
85091544 = 23325991973
BaseRepresentation
bin1010001001001…
…10010011011000
312221010002122200
411010212103120
5133240412134
612235450200
72052160206
oct504462330
9187102580
1085091544
114403959a
12245b6960
1314823a35
14b430076
15770c499
hex51264d8

85091544 has 48 divisors (see below), whose sum is σ = 230958000. Its totient is φ = 28302144.

The previous prime is 85091543. The next prime is 85091551. The reversal of 85091544 is 44519058.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 85091499 and 85091508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85091543) by changing a digit.

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, 42142 + ... + 44114.

It is an arithmetic number, because the mean of its divisors is an integer number (4811625).

Almost surely, 285091544 is an apocalyptic number.

It is an amenable number.

85091544 is an abundant number, since it is smaller than the sum of its proper divisors (145866456).

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

85091544 is a wasteful number, since it uses less digits than its factorization.

85091544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2584 (or 2577 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 85091544 is about 9224.5077917469. The cubic root of 85091544 is about 439.8407550451.

The spelling of 85091544 in words is "eighty-five million, ninety-one thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 599 1198 1797 1973 2396 3594 3946 4792 5391 5919 7188 7892 10782 11838 14376 15784 17757 21564 23676 35514 43128 47352 71028 142056 1181827 2363654 3545481 4727308 7090962 9454616 10636443 14181924 21272886 28363848 42545772 85091544