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4442928 = 243721889
BaseRepresentation
bin10000111100101100110000
322100201112220
4100330230300
52114133203
6235121040
752523100
oct20745460
98321486
104442928
112565046
1215a3180
13bc7369
14839200
155cb653
hex43cb30

4442928 has 60 divisors (see below), whose sum is σ = 13358520. Its totient is φ = 1268736.

The previous prime is 4442927. The next prime is 4442929. The reversal of 4442928 is 8292444.

4442928 = 3572 + 3582 + ... + 3882.

It is an interprime number because it is at equal distance from previous prime (4442927) and next prime (4442929).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4442927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1408 + ... + 3296.

It is an arithmetic number, because the mean of its divisors is an integer number (222642).

Almost surely, 24442928 is an apocalyptic number.

4442928 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 4442928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6679260).

4442928 is an abundant number, since it is smaller than the sum of its proper divisors (8915592).

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

4442928 is a wasteful number, since it uses less digits than its factorization.

4442928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1914 (or 1901 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 4442928 is about 2107.8254197158. The cubic root of 4442928 is about 164.3954367936.

The spelling of 4442928 in words is "four million, four hundred forty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 1889 2352 3778 5667 7556 11334 13223 15112 22668 26446 30224 39669 45336 52892 79338 90672 92561 105784 158676 185122 211568 277683 317352 370244 555366 634704 740488 1110732 1480976 2221464 4442928