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87889216 = 263121429
BaseRepresentation
bin1010011110100…
…01010101000000
320010101020100011
411033101111000
5134444423331
612415434304
72115021532
oct517212500
9203336304
1087889216
114567a518
1225525994
131529326c
14b95b852
157ab13b1
hex53d1540

87889216 has 42 divisors (see below), whose sum is σ = 180338730. Its totient is φ = 42497280.

The previous prime is 87889177. The next prime is 87889259. The reversal of 87889216 is 61298878.

It can be written as a sum of positive squares in only one way, i.e., 55353600 + 32535616 = 7440^2 + 5704^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 87889216.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 60790 + ... + 62218.

Almost surely, 287889216 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 87889216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90169365).

87889216 is an abundant number, since it is smaller than the sum of its proper divisors (92449514).

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

87889216 is a wasteful number, since it uses less digits than its factorization.

87889216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503 (or 1462 counting only the distinct ones).

The product of its digits is 387072, while the sum is 49.

The square root of 87889216 is about 9374.9248530322. The cubic root of 87889216 is about 444.6092871492.

The spelling of 87889216 in words is "eighty-seven million, eight hundred eighty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 961 992 1429 1922 1984 2858 3844 5716 7688 11432 15376 22864 30752 44299 45728 61504 88598 91456 177196 354392 708784 1373269 1417568 2746538 2835136 5493076 10986152 21972304 43944608 87889216