Search a number
-
+
85908980 = 2254295449
BaseRepresentation
bin1010001111011…
…01110111110100
312222122121222002
411013231313310
5133443041410
612305154432
72062133333
oct507556764
9188577862
1085908980
1144547763
122492ba18
1314a4bb21
14b5a3d1a
15781e7a5
hex51eddf4

85908980 has 12 divisors (see below), whose sum is σ = 180408900. Its totient is φ = 34363584.

The previous prime is 85908971. The next prime is 85908983. The reversal of 85908980 is 8980958.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 37994896 + 47914084 = 6164^2 + 6922^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85908983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2147705 + ... + 2147744.

It is an arithmetic number, because the mean of its divisors is an integer number (15034075).

Almost surely, 285908980 is an apocalyptic number.

It is an amenable number.

85908980 is an abundant number, since it is smaller than the sum of its proper divisors (94499920).

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

85908980 is a wasteful number, since it uses less digits than its factorization.

85908980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4295458 (or 4295456 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 47.

The square root of 85908980 is about 9268.7097268174. The cubic root of 85908980 is about 441.2447192856.

The spelling of 85908980 in words is "eighty-five million, nine hundred eight thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 4295449 8590898 17181796 21477245 42954490 85908980