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87049728 = 29342099
BaseRepresentation
bin1010011000001…
…00011000000000
320001210120210000
411030010120000
5134241042403
612345440000
72104624203
oct514043000
9201716700
1087049728
1145156827
12251a0000
131505b11c
14b7bd93a
1579977a3
hex5304600

87049728 has 100 divisors (see below), whose sum is σ = 259944300. Its totient is φ = 29002752.

The previous prime is 87049727. The next prime is 87049747. The reversal of 87049728 is 82794078.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87049727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 40423 + ... + 42521.

It is an arithmetic number, because the mean of its divisors is an integer number (2599443).

Almost surely, 287049728 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 87049728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129972150).

87049728 is an abundant number, since it is smaller than the sum of its proper divisors (172894572).

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

87049728 is an equidigital number, since it uses as much as digits as its factorization.

87049728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2129 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 87049728 is about 9330.0443728848. The cubic root of 87049728 is about 443.1891702793.

The spelling of 87049728 in words is "eighty-seven million, forty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1152 1296 1536 1728 2099 2304 2592 3456 4198 4608 5184 6297 6912 8396 10368 12594 13824 16792 18891 20736 25188 33584 37782 41472 50376 56673 67168 75564 100752 113346 134336 151128 170019 201504 226692 268672 302256 340038 403008 453384 537344 604512 680076 806016 906768 1074688 1209024 1360152 1612032 1813536 2418048 2720304 3224064 3627072 4836096 5440608 7254144 9672192 10881216 14508288 21762432 29016576 43524864 87049728