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87281172 = 22331126679
BaseRepresentation
bin1010011001111…
…00111000010100
320002020100021000
411030330320110
5134320444142
612354423300
72106610026
oct514747024
9202210230
1087281172
11452a4700
1225291b30
131510c584
14b840016
1579e114c
hex533ce14

87281172 has 72 divisors (see below), whose sum is σ = 248763200. Its totient is φ = 26444880.

The previous prime is 87281149. The next prime is 87281177. The reversal of 87281172 is 27118278.

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 (87281177) 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, 9729 + ... + 16407.

Almost surely, 287281172 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 87281172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124381600).

87281172 is an abundant number, since it is smaller than the sum of its proper divisors (161482028).

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

87281172 is a wasteful number, since it uses less digits than its factorization.

87281172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6714 (or 6695 counting only the distinct ones).

The product of its digits is 12544, while the sum is 36.

The square root of 87281172 is about 9342.4392960297. The cubic root of 87281172 is about 443.5816000041.

The spelling of 87281172 in words is "eighty-seven million, two hundred eighty-one thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 121 132 198 242 297 363 396 484 594 726 1089 1188 1452 2178 3267 4356 6534 6679 13068 13358 20037 26716 40074 60111 73469 80148 120222 146938 180333 220407 240444 293876 360666 440814 661221 721332 808159 881628 1322442 1616318 1983663 2424477 2644884 3232636 3967326 4848954 7273431 7934652 9697908 14546862 21820293 29093724 43640586 87281172