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8282088 = 233412781
BaseRepresentation
bin11111100101111111101000
3120120202220000
4133211333220
54110011323
6453303000
7130253013
oct37457750
916522800
108282088
114747501
122934a60
13193c959
14115837a
15ad8e43
hex7e5fe8

8282088 has 40 divisors (see below), whose sum is σ = 23199330. Its totient is φ = 2760480.

The previous prime is 8282083. The next prime is 8282107. The reversal of 8282088 is 8802828.

It can be written as a sum of positive squares in only one way, i.e., 6260004 + 2022084 = 2502^2 + 1422^2 .

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (8282083) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5743 + ... + 7038.

Almost surely, 28282088 is an apocalyptic number.

It is an amenable number.

8282088 is an abundant number, since it is smaller than the sum of its proper divisors (14917242).

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

8282088 is a wasteful number, since it uses less digits than its factorization.

8282088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12799 (or 12786 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 8282088 is about 2877.8617061978. The cubic root of 8282088 is about 202.3236324453.

It can be divided in two parts, 828 and 2088, that added together give a square (2916 = 542).

The spelling of 8282088 in words is "eight million, two hundred eighty-two thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 12781 25562 38343 51124 76686 102248 115029 153372 230058 306744 345087 460116 690174 920232 1035261 1380348 2070522 2760696 4141044 8282088