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87532272 = 2433202621
BaseRepresentation
bin1010011011110…
…10001011110000
320002201002201000
411031322023300
5134402013042
612404042000
72112004062
oct515721360
9202632630
1087532272
1145456323
1225393300
1315199959
14b8a7732
157a4074c
hex537a2f0

87532272 has 40 divisors (see below), whose sum is σ = 251251280. Its totient is φ = 29177280.

The previous prime is 87532271. The next prime is 87532307. The reversal of 87532272 is 27223578.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87532271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100879 + ... + 101742.

It is an arithmetic number, because the mean of its divisors is an integer number (6281282).

Almost surely, 287532272 is an apocalyptic number.

It is an amenable number.

87532272 is an abundant number, since it is smaller than the sum of its proper divisors (163719008).

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

87532272 is a wasteful number, since it uses less digits than its factorization.

87532272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202638 (or 202626 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 87532272 is about 9355.8683188681. The cubic root of 87532272 is about 444.0065740444.

It can be divided in two parts, 8753 and 2272, that added together give a square (11025 = 1052).

The spelling of 87532272 in words is "eighty-seven million, five hundred thirty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 202621 405242 607863 810484 1215726 1620968 1823589 2431452 3241936 3647178 4862904 5470767 7294356 9725808 10941534 14588712 21883068 29177424 43766136 87532272