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8288084 = 2272959173
BaseRepresentation
bin11111100111011101010100
3120121002010002
4133213131110
54110204314
6453350432
7130306340
oct37473524
916532102
108288084
114750a62
122938418
1319425bc
14115a620
15adaade
hex7e7754

8288084 has 48 divisors (see below), whose sum is σ = 17539200. Its totient is φ = 3351936.

The previous prime is 8288083. The next prime is 8288099. The reversal of 8288084 is 4808828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8288081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47822 + ... + 47994.

It is an arithmetic number, because the mean of its divisors is an integer number (365400).

Almost surely, 28288084 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 8288084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8769600).

8288084 is an abundant number, since it is smaller than the sum of its proper divisors (9251116).

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

8288084 is a wasteful number, since it uses less digits than its factorization.

8288084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 38.

The square root of 8288084 is about 2878.9032633974. The cubic root of 8288084 is about 202.3724462171.

The spelling of 8288084 in words is "eight million, two hundred eighty-eight thousand, eighty-four".

Divisors: 1 2 4 7 14 28 29 58 59 116 118 173 203 236 346 406 413 692 812 826 1211 1652 1711 2422 3422 4844 5017 6844 10034 10207 11977 20068 20414 23954 35119 40828 47908 70238 71449 140476 142898 285796 296003 592006 1184012 2072021 4144042 8288084