Search a number
-
+
85124448 = 2532295571
BaseRepresentation
bin1010001001011…
…10010101100000
312221011202210100
411010232111200
5133242440243
612240302400
72052355143
oct504562540
9187152710
1085124448
1144061292
1224611a00
13148359c6
14b43c05a
1577170d3
hex512e560

85124448 has 36 divisors (see below), whose sum is σ = 242073468. Its totient is φ = 28374720.

The previous prime is 85124447. The next prime is 85124461. The reversal of 85124448 is 84442158.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85124441) 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 5 ways as a sum of consecutive naturals, for example, 147498 + ... + 148073.

It is an arithmetic number, because the mean of its divisors is an integer number (6724263).

Almost surely, 285124448 is an apocalyptic number.

It is an amenable number.

85124448 is an abundant number, since it is smaller than the sum of its proper divisors (156949020).

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

85124448 is a wasteful number, since it uses less digits than its factorization.

85124448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295587 (or 295576 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 85124448 is about 9226.2911291591. The cubic root of 85124448 is about 439.8974416616.

The spelling of 85124448 in words is "eighty-five million, one hundred twenty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 295571 591142 886713 1182284 1773426 2364568 2660139 3546852 4729136 5320278 7093704 9458272 10640556 14187408 21281112 28374816 42562224 85124448