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4378220 = 2257112843
BaseRepresentation
bin10000101100111001101100
322020102210022
4100230321230
52110100340
6233501312
752133330
oct20547154
98212708
104378220
112520470
121571838
13ba3a82
1481d7c0
155b73b5
hex42ce6c

4378220 has 48 divisors (see below), whose sum is σ = 11467008. Its totient is φ = 1364160.

The previous prime is 4378219. The next prime is 4378229. The reversal of 4378220 is 228734.

It is a d-powerful number, because it can be written as 42 + 311 + 74 + 84 + 28 + 222 + 0 .

It is a self number, because there is not a number n which added to its sum of digits gives 4378220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4378229) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 119 + ... + 2961.

It is an arithmetic number, because the mean of its divisors is an integer number (238896).

Almost surely, 24378220 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 4378220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5733504).

4378220 is an abundant number, since it is smaller than the sum of its proper divisors (7088788).

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

4378220 is a wasteful number, since it uses less digits than its factorization.

4378220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2870 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 4378220 is about 2092.4196519819. The cubic root of 4378220 is about 163.5934307495.

The spelling of 4378220 in words is "four million, three hundred seventy-eight thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 2843 5686 11372 14215 19901 28430 31273 39802 56860 62546 79604 99505 125092 156365 199010 218911 312730 398020 437822 625460 875644 1094555 2189110 4378220