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89287068 = 223133137499
BaseRepresentation
bin1010101001001…
…10100110011100
320020000020211110
411110212212130
5140324141233
612505422020
72132633103
oct524464634
9206006743
1089287068
1146444772
1225a9a910
13156625b0
14bc0303a
157c8a663
hex552699c

89287068 has 96 divisors (see below), whose sum is σ = 238336000. Its totient is φ = 25816320.

The previous prime is 89287057. The next prime is 89287069. The reversal of 89287068 is 86078298.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89287069) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 178683 + ... + 179181.

Almost surely, 289287068 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 89287068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119168000).

89287068 is an abundant number, since it is smaller than the sum of its proper divisors (149048932).

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

89287068 is a wasteful number, since it uses less digits than its factorization.

89287068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 89287068 is about 9449.1834567861. The cubic root of 89287068 is about 446.9540263715.

The spelling of 89287068 in words is "eighty-nine million, two hundred eighty-seven thousand, sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 31 37 39 52 62 74 78 93 111 124 148 156 186 222 372 403 444 481 499 806 962 998 1147 1209 1443 1497 1612 1924 1996 2294 2418 2886 2994 3441 4588 4836 5772 5988 6487 6882 12974 13764 14911 15469 18463 19461 25948 29822 30938 36926 38922 44733 46407 55389 59644 61876 73852 77844 89466 92814 110778 178932 185628 201097 221556 240019 402194 480038 572353 603291 720057 804388 960076 1144706 1206582 1440114 1717059 2289412 2413164 2880228 3434118 6868236 7440589 14881178 22321767 29762356 44643534 89287068