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89538750 = 233547379
BaseRepresentation
bin1010101011001…
…00000010111110
320020111001002000
411111210002332
5140410220000
612515043130
72135031630
oct525440276
9206431060
1089538750
11465a6874
1225ba04a6
1315720012
14bc6aa50
157cda000
hex55640be

89538750 has 160 divisors (see below), whose sum is σ = 284908800. Its totient is φ = 20412000.

The previous prime is 89538731. The next prime is 89538751. The reversal of 89538750 is 5783598.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 89538696 and 89538705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89538751) 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 79 ways as a sum of consecutive naturals, for example, 236061 + ... + 236439.

It is an arithmetic number, because the mean of its divisors is an integer number (1780680).

Almost surely, 289538750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89538750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142454400).

89538750 is an abundant number, since it is smaller than the sum of its proper divisors (195370050).

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

89538750 is a wasteful number, since it uses less digits than its factorization.

89538750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 89538750 is about 9462.4917437216. The cubic root of 89538750 is about 447.3735897539.

The spelling of 89538750 in words is "eighty-nine million, five hundred thirty-eight thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 50 54 63 70 75 90 105 125 126 135 150 175 189 210 225 250 270 315 350 375 378 379 450 525 625 630 675 750 758 875 945 1050 1125 1137 1250 1350 1575 1750 1875 1890 1895 2250 2274 2625 2653 3150 3375 3411 3750 3790 4375 4725 5250 5306 5625 5685 6750 6822 7875 7959 8750 9450 9475 10233 11250 11370 13125 13265 15750 15918 16875 17055 18950 20466 23625 23877 26250 26530 28425 33750 34110 39375 39795 47250 47375 47754 51165 56850 66325 71631 78750 79590 85275 94750 102330 118125 119385 132650 142125 143262 170550 198975 236250 236875 238770 255825 284250 331625 358155 397950 426375 473750 511650 596925 663250 710625 716310 852750 994875 1193850 1279125 1421250 1658125 1790775 1989750 2131875 2558250 2984625 3316250 3581550 4263750 4974375 5969250 6395625 8953875 9948750 12791250 14923125 17907750 29846250 44769375 89538750