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87535476 = 22327794397
BaseRepresentation
bin1010011011110…
…10111101110100
320002201021002200
411031322331310
5134402113401
612404104500
72112016320
oct515727564
9202637080
1087535476
1145458776
1225395130
131519b252
14b8a8980
157a41686
hex537af74

87535476 has 72 divisors (see below), whose sum is σ = 256139520. Its totient is φ = 24687936.

The previous prime is 87535463. The next prime is 87535501. The reversal of 87535476 is 67453578.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17710 + ... + 22106.

Almost surely, 287535476 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 87535476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128069760).

87535476 is an abundant number, since it is smaller than the sum of its proper divisors (168604044).

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

87535476 is a wasteful number, since it uses less digits than its factorization.

87535476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4493 (or 4488 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 87535476 is about 9356.0395467313. The cubic root of 87535476 is about 444.0119913976.

The spelling of 87535476 in words is "eighty-seven million, five hundred thirty-five thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 79 84 126 158 237 252 316 474 553 711 948 1106 1422 1659 2212 2844 3318 4397 4977 6636 8794 9954 13191 17588 19908 26382 30779 39573 52764 61558 79146 92337 123116 158292 184674 277011 347363 369348 554022 694726 1042089 1108044 1389452 2084178 2431541 3126267 4168356 4863082 6252534 7294623 9726164 12505068 14589246 21883869 29178492 43767738 87535476