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4428820 = 2251141491
BaseRepresentation
bin10000111001010000010100
322100000012101
4100321100110
52113210240
6234531444
752434004
oct20712024
98300171
104428820
112555490
121596b84
13bc0b06
14834004
155c739a
hex439414

4428820 has 48 divisors (see below), whose sum is σ = 10414656. Its totient is φ = 1568000.

The previous prime is 4428817. The next prime is 4428821. The reversal of 4428820 is 288244.

It is a super-2 number, since 2×44288202 = 39228893184800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4428821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8775 + ... + 9265.

It is an arithmetic number, because the mean of its divisors is an integer number (216972).

Almost surely, 24428820 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 4428820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5207328).

4428820 is an abundant number, since it is smaller than the sum of its proper divisors (5985836).

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

4428820 is a wasteful number, since it uses less digits than its factorization.

4428820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 4428820 is about 2104.4761818562. The cubic root of 4428820 is about 164.2212461066.

It can be divided in two parts, 4 and 428820, that added together give a palindrome (428824).

The spelling of 4428820 in words is "four million, four hundred twenty-eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 410 451 491 820 902 982 1804 1964 2255 2455 4510 4910 5401 9020 9820 10802 20131 21604 27005 40262 54010 80524 100655 108020 201310 221441 402620 442882 885764 1107205 2214410 4428820