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89945928 = 233273109157
BaseRepresentation
bin1010101110001…
…11011101001000
320021020201121200
411113013131020
5141011232203
612531504200
72141346012
oct527073510
9207221550
1089945928
1146854786
1226158060
1315833457
14bd351b2
157d6a9a3
hex55c7748

89945928 has 96 divisors (see below), whose sum is σ = 250793400. Its totient is φ = 29113344.

The previous prime is 89945917. The next prime is 89945941. The reversal of 89945928 is 82954998.

It can be written as a sum of positive squares in 4 ways, for example, as 78535044 + 11410884 = 8862^2 + 3378^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 572826 + ... + 572982.

Almost surely, 289945928 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 89945928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125396700).

89945928 is an abundant number, since it is smaller than the sum of its proper divisors (160847472).

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

89945928 is a wasteful number, since it uses less digits than its factorization.

89945928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 344 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The square root of 89945928 is about 9483.9827077025. The cubic root of 89945928 is about 448.0507090772.

The spelling of 89945928 in words is "eighty-nine million, nine hundred forty-five thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 109 146 157 218 219 292 314 327 436 438 471 584 628 654 657 872 876 942 981 1256 1308 1314 1413 1752 1884 1962 2616 2628 2826 3768 3924 5256 5652 7848 7957 11304 11461 15914 17113 22922 23871 31828 34226 34383 45844 47742 51339 63656 68452 68766 71613 91688 95484 102678 103149 136904 137532 143226 154017 190968 205356 206298 275064 286452 308034 410712 412596 572904 616068 825192 1232136 1249249 2498498 3747747 4996996 7495494 9993992 11243241 14990988 22486482 29981976 44972964 89945928