Search a number
-
+
85236448 = 2511463523
BaseRepresentation
bin1010001010010…
…01101011100000
312221101110102111
411011021223200
5133310031243
612242525104
72053332523
oct505115340
9187343374
1085236448
1144128450
1224666794
131487498b
14b46abba
15773a39d
hex5149ae0

85236448 has 48 divisors (see below), whose sum is σ = 183810816. Its totient is φ = 38586240.

The previous prime is 85236421. The next prime is 85236461. The reversal of 85236448 is 84463258.

It is a self number, because there is not a number n which added to its sum of digits gives 85236448.

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 7 ways as a sum of consecutive naturals, for example, 162715 + ... + 163237.

It is an arithmetic number, because the mean of its divisors is an integer number (3829392).

Almost surely, 285236448 is an apocalyptic number.

85236448 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85236448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91905408).

85236448 is an abundant number, since it is smaller than the sum of its proper divisors (98574368).

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

85236448 is a wasteful number, since it uses less digits than its factorization.

85236448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 999 counting only the distinct ones).

The product of its digits is 184320, while the sum is 40.

The square root of 85236448 is about 9232.3587451962. The cubic root of 85236448 is about 440.0902845034.

The spelling of 85236448 in words is "eighty-five million, two hundred thirty-six thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 463 523 926 1046 1852 2092 3704 4184 5093 5753 7408 8368 10186 11506 14816 16736 20372 23012 40744 46024 81488 92048 162976 184096 242149 484298 968596 1937192 2663639 3874384 5327278 7748768 10654556 21309112 42618224 85236448