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89431125 = 3537231157
BaseRepresentation
bin1010101010010…
…01110001010101
320020021120102220
411111021301111
5140343244000
612512452553
72134103100
oct525116125
9206246386
1089431125
1146532a23
1225b4a159
13156b3034
14bc3d737
157cb81a0
hex5549c55

89431125 has 96 divisors (see below), whose sum is σ = 179831808. Its totient is φ = 39312000.

The previous prime is 89431093. The next prime is 89431163. The reversal of 89431125 is 52113498.

It is not a de Polignac number, because 89431125 - 25 = 89431093 is a prime.

It is a super-2 number, since 2×894311252 = 15995852237531250, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 569547 + ... + 569703.

It is an arithmetic number, because the mean of its divisors is an integer number (1873248).

Almost surely, 289431125 is an apocalyptic number.

It is an amenable number.

89431125 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

89431125 is a wasteful number, since it uses less digits than its factorization.

89431125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 203 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 89431125 is about 9456.8031067586. The cubic root of 89431125 is about 447.1942711650.

The spelling of 89431125 in words is "eighty-nine million, four hundred thirty-one thousand, one hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 31 35 49 75 93 105 125 147 155 157 175 217 245 375 465 471 525 651 735 775 785 875 1085 1099 1225 1519 2325 2355 2625 3255 3297 3675 3875 3925 4557 4867 5425 5495 6125 7595 7693 11625 11775 14601 16275 16485 18375 19625 22785 23079 24335 27125 27475 34069 37975 38465 58875 73005 81375 82425 102207 113925 115395 121675 137375 170345 189875 192325 238483 365025 412125 511035 569625 576975 608375 715449 851725 961625 1192415 1825125 2555175 2884875 3577245 4258625 5962075 12775875 17886225 29810375 89431125