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89460852 = 223134171197
BaseRepresentation
bin1010101010100…
…01000001110100
320020100002012220
411111101001310
5140400221402
612513242340
72134255545
oct525210164
9206302186
1089460852
1146553298
1225b633b0
13156c3720
14bc4a4cc
157cc1dbc
hex5551074

89460852 has 96 divisors (see below), whose sum is σ = 234710784. Its totient is φ = 26342400.

The previous prime is 89460841. The next prime is 89460871. The reversal of 89460852 is 25806498.

It is a congruent number.

It is an unprimeable number.

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, 454018 + ... + 454214.

It is an arithmetic number, because the mean of its divisors is an integer number (2444904).

Almost surely, 289460852 is an apocalyptic number.

89460852 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89460852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117355392).

89460852 is an abundant number, since it is smaller than the sum of its proper divisors (145249932).

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

89460852 is a wasteful number, since it uses less digits than its factorization.

89460852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 89460852 is about 9458.3747018185. The cubic root of 89460852 is about 447.2438149579.

The spelling of 89460852 in words is "eighty-nine million, four hundred sixty thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 41 52 71 78 82 123 142 156 164 197 213 246 284 394 426 492 533 591 788 852 923 1066 1182 1599 1846 2132 2364 2561 2769 2911 3198 3692 5122 5538 5822 6396 7683 8077 8733 10244 11076 11644 13987 15366 16154 17466 24231 27974 30732 32308 34932 37843 41961 48462 55948 75686 83922 96924 105001 113529 151372 167844 181831 210002 227058 315003 363662 420004 454116 545493 573467 630006 727324 1090986 1146934 1260012 1720401 2181972 2293868 3440802 6881604 7455071 14910142 22365213 29820284 44730426 89460852