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89908434 = 23372113089
BaseRepresentation
bin1010101101111…
…10010011010010
320021011211012000
411112332103102
5141004032214
612531014430
72141131500
oct526762322
9207154160
1089908434
11468295a0
122613a416
131581c375
14bd25670
157d5e809
hex55be4d2

89908434 has 96 divisors (see below), whose sum is σ = 253627200. Its totient is φ = 23345280.

The previous prime is 89908433. The next prime is 89908453. The reversal of 89908434 is 43480998.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 89908434.

It is not an unprimeable number, because it can be changed into a prime (89908433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27562 + ... + 30650.

It is an arithmetic number, because the mean of its divisors is an integer number (2641950).

Almost surely, 289908434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89908434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126813600).

89908434 is an abundant number, since it is smaller than the sum of its proper divisors (163718766).

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

89908434 is a wasteful number, since it uses less digits than its factorization.

89908434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3125 (or 3112 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 89908434 is about 9482.0058004623. The cubic root of 89908434 is about 447.9884437123.

It can be divided in two parts, 8990 and 8434, that added together give a square (17424 = 1322).

The spelling of 89908434 in words is "eighty-nine million, nine hundred eight thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 49 54 63 66 77 98 99 126 147 154 189 198 231 294 297 378 441 462 539 594 693 882 1078 1323 1386 1617 2079 2646 3089 3234 4158 4851 6178 9267 9702 14553 18534 21623 27801 29106 33979 43246 55602 64869 67958 83403 101937 129738 151361 166806 194607 203874 237853 302722 305811 389214 454083 475706 583821 611622 713559 908166 917433 1167642 1362249 1427118 1664971 1834866 2140677 2724498 3329942 4086747 4281354 4994913 6422031 8173494 9989826 12844062 14984739 29969478 44954217 89908434