Search a number
-
+
89349000 = 23353132979
BaseRepresentation
bin1010101001101…
…01101110001000
320020010101210020
411110311232020
5140333132000
612511020440
72133311466
oct524655610
9206111706
1089349000
1146487254
1225b0a720
1315684840
14bc1b836
157c9dba0
hex5535b88

89349000 has 256 divisors, whose sum is σ = 314496000. Its totient is φ = 20966400.

The previous prime is 89348993. The next prime is 89349011. The reversal of 89349000 is 94398.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1130961 + ... + 1131039.

It is an arithmetic number, because the mean of its divisors is an integer number (1228500).

Almost surely, 289349000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89349000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157248000).

89349000 is an abundant number, since it is smaller than the sum of its proper divisors (225147000).

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

89349000 is a wasteful number, since it uses less digits than its factorization.

89349000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 89349000 is about 9452.4599972706. The cubic root of 89349000 is about 447.0573424127.

The spelling of 89349000 in words is "eighty-nine million, three hundred forty-nine thousand".