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89297000 = 2353136869
BaseRepresentation
bin1010101001010…
…01000001101000
320020000202110022
411110221001220
5140330001000
612505540012
72133004052
oct524510150
9206022408
1089297000
1146451181
1225aa4608
1315666c80
14bc068d2
157c8d585
hex5529068

89297000 has 64 divisors (see below), whose sum is σ = 225061200. Its totient is φ = 32966400.

The previous prime is 89296973. The next prime is 89297009. The reversal of 89297000 is 79298.

It can be written as a sum of positive squares in 8 ways, for example, as 10407076 + 78889924 = 3226^2 + 8882^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89297009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9566 + ... + 16434.

Almost surely, 289297000 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 89297000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112530600).

89297000 is an abundant number, since it is smaller than the sum of its proper divisors (135764200).

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

89297000 is a wasteful number, since it uses less digits than its factorization.

89297000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6903 (or 6889 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 89297000 is about 9449.7089902282. The cubic root of 89297000 is about 446.9705983227.

The spelling of 89297000 in words is "eighty-nine million, two hundred ninety-seven thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 6500 6869 13000 13738 27476 34345 54952 68690 89297 137380 171725 178594 274760 343450 357188 446485 686900 714376 858625 892970 1373800 1717250 1785940 2232425 3434500 3571880 4464850 6869000 8929700 11162125 17859400 22324250 44648500 89297000