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89084424 = 2331113101257
BaseRepresentation
bin1010100111101…
…01001000001000
320012121221212010
411103311020020
5140301200144
612501215520
72131130232
oct523651010
9205557763
1089084424
11463164a0
1225a015a0
13155c12a0
14bb8d252
157c4a5b9
hex54f5208

89084424 has 128 divisors (see below), whose sum is σ = 265265280. Its totient is φ = 24576000.

The previous prime is 89084423. The next prime is 89084449. The reversal of 89084424 is 42448098.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (89084423) 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 31 ways as a sum of consecutive naturals, for example, 346504 + ... + 346760.

It is an arithmetic number, because the mean of its divisors is an integer number (2072385).

Almost surely, 289084424 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 89084424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132632640).

89084424 is an abundant number, since it is smaller than the sum of its proper divisors (176180856).

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

89084424 is a wasteful number, since it uses less digits than its factorization.

89084424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 89084424 is about 9438.4545345093. The cubic root of 89084424 is about 446.6156378427.

The spelling of 89084424 in words is "eighty-nine million, eighty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 101 104 132 143 156 202 257 264 286 303 312 404 429 514 572 606 771 808 858 1028 1111 1144 1212 1313 1542 1716 2056 2222 2424 2626 2827 3084 3333 3341 3432 3939 4444 5252 5654 6168 6666 6682 7878 8481 8888 10023 10504 11308 13332 13364 14443 15756 16962 20046 22616 25957 26664 26728 28886 31512 33924 36751 40092 43329 51914 57772 67848 73502 77871 80184 86658 103828 110253 115544 147004 155742 173316 207656 220506 285527 294008 311484 337441 346632 441012 571054 622968 674882 856581 882024 1012323 1142108 1349764 1713162 2024646 2284216 2699528 3426324 3711851 4049292 6852648 7423702 8098584 11135553 14847404 22271106 29694808 44542212 89084424