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89288298 = 23311191787
BaseRepresentation
bin1010101001001…
…10111001101010
320020000022112000
411110212321222
5140324211143
612505431430
72132636511
oct524467152
9206008460
1089288298
1146445690
1225a9b576
1315663018
14bc03678
157c8abd3
hex5526e6a

89288298 has 64 divisors (see below), whose sum is σ = 217866240. Its totient is φ = 26881200.

The previous prime is 89288293. The next prime is 89288317.

89288298 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89288293) 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, 113061 + ... + 113847.

It is an arithmetic number, because the mean of its divisors is an integer number (3404160).

Almost surely, 289288298 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89288298, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108933120).

89288298 is an abundant number, since it is smaller than the sum of its proper divisors (128577942).

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

89288298 is a wasteful number, since it uses less digits than its factorization.

89288298 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 994 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 54.

The square root of 89288298 is about 9449.2485415508. The cubic root of 89288298 is about 446.9560787439.

The spelling of 89288298 in words is "eighty-nine million, two hundred eighty-eight thousand, two hundred ninety-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 191 198 297 382 573 594 787 1146 1574 1719 2101 2361 3438 4202 4722 5157 6303 7083 8657 10314 12606 14166 17314 18909 21249 25971 37818 42498 51942 56727 77913 113454 150317 155826 233739 300634 450951 467478 901902 1352853 1653487 2705706 3306974 4058559 4960461 8117118 9920922 14881383 29762766 44644149 89288298