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4429128 = 2331119883
BaseRepresentation
bin10000111001010101001000
322100000121210
4100321111020
52113213003
6234533120
752434624
oct20712510
98300553
104429128
112555740
1215971a0
13bc0cb2
14834184
155c7503
hex439548

4429128 has 64 divisors (see below), whose sum is σ = 12729600. Its totient is φ = 1270080.

The previous prime is 4429093. The next prime is 4429171. The reversal of 4429128 is 8219244.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 4429095 and 4429104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4575 + ... + 5457.

It is an arithmetic number, because the mean of its divisors is an integer number (198900).

Almost surely, 24429128 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 4429128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6364800).

4429128 is an abundant number, since it is smaller than the sum of its proper divisors (8300472).

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

4429128 is a wasteful number, since it uses less digits than its factorization.

4429128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 918 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 4429128 is about 2104.5493579387. The cubic root of 4429128 is about 164.2250529123.

The spelling of 4429128 in words is "four million, four hundred twenty-nine thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 418 456 627 836 883 1254 1672 1766 2508 2649 3532 5016 5298 7064 9713 10596 16777 19426 21192 29139 33554 38852 50331 58278 67108 77704 100662 116556 134216 184547 201324 233112 369094 402648 553641 738188 1107282 1476376 2214564 4429128