Search a number
-
+
85411458 = 232111014271
BaseRepresentation
bin1010001011101…
…00011010000010
312221201100111100
411011310122002
5133331131313
612250355230
72054661666
oct505643202
9187640440
1085411458
1144237990
122472bb16
1314906532
14b4b48a6
157772173
hex5174682

85411458 has 48 divisors (see below), whose sum is σ = 203928192. Its totient is φ = 25620000.

The previous prime is 85411439. The next prime is 85411481.

85411458 is nontrivially palindromic in base 10.

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 23 ways as a sum of consecutive naturals, for example, 17863 + ... + 22133.

It is an arithmetic number, because the mean of its divisors is an integer number (4248504).

Almost surely, 285411458 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85411458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101964096).

85411458 is an abundant number, since it is smaller than the sum of its proper divisors (118516734).

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

85411458 is a wasteful number, since it uses less digits than its factorization.

85411458 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4391 (or 4388 counting only the distinct ones).

The product of its digits is 25600, while the sum is 36.

The square root of 85411458 is about 9241.8319612510. The cubic root of 85411458 is about 440.3912807288.

It can be divided in two parts, 8541 and 1458, that added together give a palindrome (9999).

The spelling of 85411458 in words is "eighty-five million, four hundred eleven thousand, four hundred fifty-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 101 198 202 303 606 909 1111 1818 2222 3333 4271 6666 8542 9999 12813 19998 25626 38439 46981 76878 93962 140943 281886 422829 431371 845658 862742 1294113 2588226 3882339 4745081 7764678 9490162 14235243 28470486 42705729 85411458