Search a number
-
+
85418658 = 23313271449
BaseRepresentation
bin1010001011101…
…10001010100010
312221201201101000
411011312022202
5133331344113
612250452430
72055021663
oct505661242
9187651330
1085418658
1144242336
1224734116
13149098b0
14b4b736a
157774373
hex51762a2

85418658 has 64 divisors (see below), whose sum is σ = 205632000. Its totient is φ = 26127360.

The previous prime is 85418657. The next prime is 85418677. The reversal of 85418658 is 85681458.

It is not an unprimeable number, because it can be changed into a prime (85418651) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190018 + ... + 190466.

It is an arithmetic number, because the mean of its divisors is an integer number (3213000).

Almost surely, 285418658 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85418658, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102816000).

85418658 is an abundant number, since it is smaller than the sum of its proper divisors (120213342).

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

85418658 is a wasteful number, since it uses less digits than its factorization.

85418658 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 738 counting only the distinct ones).

The product of its digits is 307200, while the sum is 45.

The square root of 85418658 is about 9242.2214862012. The cubic root of 85418658 is about 440.4036550566.

The spelling of 85418658 in words is "eighty-five million, four hundred eighteen thousand, six hundred fifty-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 271 351 449 542 702 813 898 1347 1626 2439 2694 3523 4041 4878 5837 7046 7317 8082 10569 11674 12123 14634 17511 21138 24246 31707 35022 52533 63414 95121 105066 121679 157599 190242 243358 315198 365037 730074 1095111 1581827 2190222 3163654 3285333 4745481 6570666 9490962 14236443 28472886 42709329 85418658