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4392768 = 263137167
BaseRepresentation
bin10000110000011101000000
322021011202010
4100300131000
52111032033
6234052520
752223622
oct20603500
98234663
104392768
112530396
12157a140
13baa593
14824c12
155bb863
hex430740

4392768 has 56 divisors (see below), whose sum is σ = 11777472. Its totient is φ = 1444864.

The previous prime is 4392763. The next prime is 4392769. The reversal of 4392768 is 8672934.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4392763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26221 + ... + 26387.

It is an arithmetic number, because the mean of its divisors is an integer number (210312).

Almost surely, 24392768 is an apocalyptic number.

4392768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4392768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5888736).

4392768 is an abundant number, since it is smaller than the sum of its proper divisors (7384704).

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

4392768 is a wasteful number, since it uses less digits than its factorization.

4392768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 309 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 4392768 is about 2095.8931270463. The cubic root of 4392768 is about 163.7744271389.

The spelling of 4392768 in words is "four million, three hundred ninety-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 137 167 192 274 334 411 501 548 668 822 1002 1096 1336 1644 2004 2192 2672 3288 4008 4384 5344 6576 8016 8768 10688 13152 16032 22879 26304 32064 45758 68637 91516 137274 183032 274548 366064 549096 732128 1098192 1464256 2196384 4392768