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4288950 = 23552353
BaseRepresentation
bin10000010111000110110110
322001220100000
4100113012312
52044221300
6231532130
751312141
oct20270666
98056300
104288950
11246a396
12152a046
13b72253
147d9058
1559ac00
hex4171b6

4288950 has 72 divisors (see below), whose sum is σ = 11983608. Its totient is φ = 1140480.

The previous prime is 4288939. The next prime is 4288951. The reversal of 4288950 is 598824.

It is a d-powerful number, because it can be written as 47 + 222 + 82 + 82 + 9 + 57 + 0 .

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4288951) 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 35 ways as a sum of consecutive naturals, for example, 11974 + ... + 12326.

It is an arithmetic number, because the mean of its divisors is an integer number (166439).

Almost surely, 24288950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4288950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5991804).

4288950 is an abundant number, since it is smaller than the sum of its proper divisors (7694658).

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

4288950 is a wasteful number, since it uses less digits than its factorization.

4288950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 4288950 is about 2070.9780298207. The cubic root of 4288950 is about 162.4739208642.

The spelling of 4288950 in words is "four million, two hundred eighty-eight thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 243 270 353 405 450 486 675 706 810 1059 1215 1350 1765 2025 2118 2430 3177 3530 4050 5295 6075 6354 8825 9531 10590 12150 15885 17650 19062 26475 28593 31770 47655 52950 57186 79425 85779 95310 142965 158850 171558 238275 285930 428895 476550 714825 857790 1429650 2144475 4288950