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8087328 = 253228081
BaseRepresentation
bin11110110110011100100000
3120012212201200
4132312130200
54032243303
6445201200
7125512134
oct36663440
916185650
108087328
114624147
122860200
1318a2102
1411073c4
15a9b3a3
hex7b6720

8087328 has 36 divisors (see below), whose sum is σ = 22999158. Its totient is φ = 2695680.

The previous prime is 8087281. The next prime is 8087333. The reversal of 8087328 is 8237808.

8087328 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7551504 + 535824 = 2748^2 + 732^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 8087292 and 8087301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13753 + ... + 14328.

Almost surely, 28087328 is an apocalyptic number.

It is an amenable number.

8087328 is an abundant number, since it is smaller than the sum of its proper divisors (14911830).

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

8087328 is a wasteful number, since it uses less digits than its factorization.

8087328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28097 (or 28086 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 8087328 is about 2843.8227792885. The cubic root of 8087328 is about 200.7251012969.

The spelling of 8087328 in words is "eight million, eighty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 28081 56162 84243 112324 168486 224648 252729 336972 449296 505458 673944 898592 1010916 1347888 2021832 2695776 4043664 8087328