Search a number
-
+
85929450 = 23521314373
BaseRepresentation
bin1010001111100…
…10110111101010
312222200200001020
411013302313222
5133444220300
612305433310
72062250115
oct507626752
9188620036
1085929450
1144561082
122493b836
1314a58239
14b5ab57c
1578258a0
hex51f2dea

85929450 has 48 divisors (see below), whose sum is σ = 214780896. Its totient is φ = 22734400.

The previous prime is 85929439. The next prime is 85929479. The reversal of 85929450 is 5492958.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17464 + ... + 21836.

It is an arithmetic number, because the mean of its divisors is an integer number (4474602).

Almost surely, 285929450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85929450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107390448).

85929450 is an abundant number, since it is smaller than the sum of its proper divisors (128851446).

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

85929450 is a wasteful number, since it uses less digits than its factorization.

85929450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4519 (or 4514 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 85929450 is about 9269.8139139899. The cubic root of 85929450 is about 441.2797624290.

The spelling of 85929450 in words is "eighty-five million, nine hundred twenty-nine thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 131 150 262 393 655 786 1310 1965 3275 3930 4373 6550 8746 9825 13119 19650 21865 26238 43730 65595 109325 131190 218650 327975 572863 655950 1145726 1718589 2864315 3437178 5728630 8592945 14321575 17185890 28643150 42964725 85929450