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87393852 = 2232721337103
BaseRepresentation
bin1010011010110…
…00011000111100
320002110001211100
411031120120330
5134333100402
612401053100
72110556400
oct515303074
9202401740
1087393852
1145371327
1225327190
131514b950
14b86d100
157a1471c
hex535863c

87393852 has 216 divisors, whose sum is σ = 286986336. Its totient is φ = 22208256.

The previous prime is 87393851. The next prime is 87393853. The reversal of 87393852 is 25839378.

It is an interprime number because it is at equal distance from previous prime (87393851) and next prime (87393853).

It is a junction number, because it is equal to n+sod(n) for n = 87393798 and 87393807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87393851) 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 71 ways as a sum of consecutive naturals, for example, 848433 + ... + 848535.

Almost surely, 287393852 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 87393852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143493168).

87393852 is an abundant number, since it is smaller than the sum of its proper divisors (199592484).

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

87393852 is a wasteful number, since it uses less digits than its factorization.

87393852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 165 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 87393852 is about 9348.4678958640. The cubic root of 87393852 is about 443.7724058779.

The spelling of 87393852 in words is "eighty-seven million, three hundred ninety-three thousand, eight hundred fifty-two".