Search a number
-
+
87887712 = 2531183227
BaseRepresentation
bin1010011110100…
…00111101100000
320010101011021110
411033100331200
5134444401322
612415423320
72115014253
oct517207540
9203334243
1087887712
1145679380
1225524b40
1315292683
14b95b09a
157ab0c0c
hex53d0f60

87887712 has 48 divisors (see below), whose sum is σ = 251681472. Its totient is φ = 26632320.

The previous prime is 87887707. The next prime is 87887717. The reversal of 87887712 is 21778878.

It is an interprime number because it is at equal distance from previous prime (87887707) and next prime (87887717).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87887717) 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 7 ways as a sum of consecutive naturals, for example, 40558 + ... + 42669.

It is an arithmetic number, because the mean of its divisors is an integer number (5243364).

Almost surely, 287887712 is an apocalyptic number.

It is an amenable number.

87887712 is an abundant number, since it is smaller than the sum of its proper divisors (163793760).

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

87887712 is a wasteful number, since it uses less digits than its factorization.

87887712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83251 (or 83243 counting only the distinct ones).

The product of its digits is 351232, while the sum is 48.

The square root of 87887712 is about 9374.8446387127. The cubic root of 87887712 is about 444.6067510164.

The spelling of 87887712 in words is "eighty-seven million, eight hundred eighty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 83227 166454 249681 332908 499362 665816 915497 998724 1331632 1830994 1997448 2663264 2746491 3661988 3994896 5492982 7323976 7989792 10985964 14647952 21971928 29295904 43943856 87887712