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89003232 = 2533313323
BaseRepresentation
bin1010100111000…
…01010011100000
320012110211111000
411103201103200
5140241100412
612455352000
72130341433
oct523412340
9205424430
1089003232
114627049a
1225982600
1315593346
14bb6b81a
157c314dc
hex54e14e0

89003232 has 96 divisors (see below), whose sum is σ = 268047360. Its totient is φ = 28702080.

The previous prime is 89003219. The next prime is 89003237. The reversal of 89003232 is 23230098.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 89003196 and 89003205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89003237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25123 + ... + 28445.

It is an arithmetic number, because the mean of its divisors is an integer number (2792160).

Almost surely, 289003232 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 89003232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134023680).

89003232 is an abundant number, since it is smaller than the sum of its proper divisors (179044128).

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

89003232 is a wasteful number, since it uses less digits than its factorization.

89003232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3373 (or 3359 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 89003232 is about 9434.1524261589. The cubic root of 89003232 is about 446.4799140084.

The spelling of 89003232 in words is "eighty-nine million, three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 93 96 108 124 144 186 216 248 279 288 372 432 496 558 744 837 864 992 1116 1488 1674 2232 2976 3323 3348 4464 6646 6696 8928 9969 13292 13392 19938 26584 26784 29907 39876 53168 59814 79752 89721 103013 106336 119628 159504 179442 206026 239256 309039 319008 358884 412052 478512 618078 717768 824104 927117 957024 1236156 1435536 1648208 1854234 2472312 2781351 2871072 3296416 3708468 4944624 5562702 7416936 9889248 11125404 14833872 22250808 29667744 44501616 89003232