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8242752 = 26376133
BaseRepresentation
bin11111011100011001000000
3120111202221010
4133130121000
54102232002
6452400520
7130030230
oct37343100
916452833
108242752
11471a9a1
122916140
131927a8b
141147cc0
15acc46c
hex7dc640

8242752 has 56 divisors (see below), whose sum is σ = 24928576. Its totient is φ = 2354688.

The previous prime is 8242733. The next prime is 8242777. The reversal of 8242752 is 2572428.

It is a tau number, because it is divible by the number of its divisors (56).

It is a d-powerful number, because it can be written as 8 + 2 + 42 + 29 + 78 + 59 + 219 .

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 7 ways as a sum of consecutive naturals, for example, 1723 + ... + 4410.

Almost surely, 28242752 is an apocalyptic number.

It is an amenable number.

8242752 is an abundant number, since it is smaller than the sum of its proper divisors (16685824).

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

8242752 is a wasteful number, since it uses less digits than its factorization.

8242752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6155 (or 6145 counting only the distinct ones).

The product of its digits is 8960, while the sum is 30.

The square root of 8242752 is about 2871.0193311784. The cubic root of 8242752 is about 202.0028101429.

The spelling of 8242752 in words is "eight million, two hundred forty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 6133 12266 18399 24532 36798 42931 49064 73596 85862 98128 128793 147192 171724 196256 257586 294384 343448 392512 515172 588768 686896 1030344 1177536 1373792 2060688 2747584 4121376 8242752