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8288064 = 263214389
BaseRepresentation
bin11111100111011101000000
3120121002002100
4133213131000
54110204224
6453350400
7130306311
oct37473500
916532070
108288064
114750a44
122938400
1319425a5
14115a608
15adaac9
hex7e7740

8288064 has 42 divisors (see below), whose sum is σ = 23757890. Its totient is φ = 2762496.

The previous prime is 8288057. The next prime is 8288069. The reversal of 8288064 is 4608828.

It can be written as a sum of positive squares in only one way, i.e., 6350400 + 1937664 = 2520^2 + 1392^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8288069) 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 5 ways as a sum of consecutive naturals, for example, 6619 + ... + 7770.

Almost surely, 28288064 is an apocalyptic number.

It is an amenable number.

8288064 is an abundant number, since it is smaller than the sum of its proper divisors (15469826).

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

8288064 is a wasteful number, since it uses less digits than its factorization.

8288064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14407 (or 14394 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 8288064 is about 2878.8997898503. The cubic root of 8288064 is about 202.3722834351.

It can be divided in two parts, 82880 and 64, that added together give a square (82944 = 2882).

The spelling of 8288064 in words is "eight million, two hundred eighty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 14389 28778 43167 57556 86334 115112 129501 172668 230224 259002 345336 460448 518004 690672 920896 1036008 1381344 2072016 2762688 4144032 8288064