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87493536 = 25321323369
BaseRepresentation
bin1010011011100…
…00101110100000
320002122010120100
411031300232200
5134344243121
612403142400
72111453124
oct515605640
9202563510
1087493536
114542a209
1225374a00
1315185130
14b897584
157a34026
hex5370ba0

87493536 has 72 divisors (see below), whose sum is σ = 267960420. Its totient is φ = 26919936.

The previous prime is 87493507. The next prime is 87493547. The reversal of 87493536 is 63539478.

It can be written as a sum of positive squares in 2 ways, for example, as 73205136 + 14288400 = 8556^2 + 3780^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 87493491 and 87493500.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7941 + ... + 15428.

Almost surely, 287493536 is an apocalyptic number.

It is an amenable number.

87493536 is an abundant number, since it is smaller than the sum of its proper divisors (180466884).

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

87493536 is a wasteful number, since it uses less digits than its factorization.

87493536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23398 (or 23387 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 87493536 is about 9353.7979452199. The cubic root of 87493536 is about 443.9410683898.

The spelling of 87493536 in words is "eighty-seven million, four hundred ninety-three thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 23369 46738 70107 93476 140214 186952 210321 280428 303797 373904 420642 560856 607594 747808 841284 911391 1121712 1215188 1682568 1822782 2243424 2430376 2734173 3365136 3645564 4860752 5468346 6730272 7291128 9721504 10936692 14582256 21873384 29164512 43746768 87493536