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89008010 = 25721389157
BaseRepresentation
bin1010100111000…
…10011110001010
320012111002000222
411103202132022
5140241224020
612455430042
72130361400
oct523423612
9205432028
1089008010
1146274043
1225985322
1315595580
14bb6d470
157c32b25
hex54e278a

89008010 has 96 divisors (see below), whose sum is σ = 204256080. Its totient is φ = 27675648.

The previous prime is 89008009. The next prime is 89008019. The reversal of 89008010 is 1080098.

It can be written as a sum of positive squares in 8 ways, for example, as 5303809 + 83704201 = 2303^2 + 9149^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

89008010 is a modest number, since divided by 8010 gives 890 as remainder.

It is not an unprimeable number, because it can be changed into a prime (89008019) 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 47 ways as a sum of consecutive naturals, for example, 566852 + ... + 567008.

Almost surely, 289008010 is an apocalyptic number.

89008010 is an abundant number, since it is smaller than the sum of its proper divisors (115248070).

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

89008010 is a wasteful number, since it uses less digits than its factorization.

89008010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 89008010 is about 9434.4056516561. The cubic root of 89008010 is about 446.4879033919.

The spelling of 89008010 in words is "eighty-nine million, eight thousand, ten".

Divisors: 1 2 5 7 10 13 14 26 35 49 65 70 89 91 98 130 157 178 182 245 314 445 455 490 623 637 785 890 910 1099 1157 1246 1274 1570 2041 2198 2314 3115 3185 4082 4361 5495 5785 6230 6370 7693 8099 8722 10205 10990 11570 13973 14287 15386 16198 20410 21805 27946 28574 38465 40495 43610 56693 69865 71435 76930 80990 97811 100009 113386 139730 142870 181649 195622 200018 283465 363298 489055 500045 566930 684677 908245 978110 1000090 1271543 1369354 1816490 2543086 3423385 6357715 6846770 8900801 12715430 17801602 44504005 89008010