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87213852 = 2232111131949
BaseRepresentation
bin1010011001011…
…00011100011100
320002002220220200
411030230130130
5134311320402
612353143500
72106206535
oct514543434
9202086820
1087213852
1145259070
122525ab90
13150b7a3b
14b82368c
1579cb21c
hex532c71c

87213852 has 72 divisors (see below), whose sum is σ = 242751600. Its totient is φ = 26181120.

The previous prime is 87213851. The next prime is 87213869. The reversal of 87213852 is 25831278.

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 (87213851) 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 23 ways as a sum of consecutive naturals, for example, 43774 + ... + 45722.

It is an arithmetic number, because the mean of its divisors is an integer number (3371550).

Almost surely, 287213852 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 87213852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121375800).

87213852 is an abundant number, since it is smaller than the sum of its proper divisors (155537748).

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

87213852 is a wasteful number, since it uses less digits than its factorization.

87213852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083 (or 2078 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 87213852 is about 9338.8356876005. The cubic root of 87213852 is about 443.4675257870.

The spelling of 87213852 in words is "eighty-seven million, two hundred thirteen thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 113 132 198 226 339 396 452 678 1017 1243 1356 1949 2034 2486 3729 3898 4068 4972 5847 7458 7796 11187 11694 14916 17541 21439 22374 23388 35082 42878 44748 64317 70164 85756 128634 192951 220237 257268 385902 440474 660711 771804 880948 1321422 1982133 2422607 2642844 3964266 4845214 7267821 7928532 9690428 14535642 21803463 29071284 43606926 87213852