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4129398 = 2327132521
BaseRepresentation
bin1111110000001001110110
321202210110200
433300021312
52024120043
6224301330
750046030
oct17601166
97683420
104129398
112370529
121471846
13b17740
14796c50
155687d3
hex3f0276

4129398 has 48 divisors (see below), whose sum is σ = 11016096. Its totient is φ = 1088640.

The previous prime is 4129393. The next prime is 4129423. The reversal of 4129398 is 8939214.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4129393) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 378 + ... + 2898.

It is an arithmetic number, because the mean of its divisors is an integer number (229502).

Almost surely, 24129398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4129398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5508048).

4129398 is an abundant number, since it is smaller than the sum of its proper divisors (6886698).

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

4129398 is a wasteful number, since it uses less digits than its factorization.

4129398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2549 (or 2546 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 4129398 is about 2032.0920254752. The cubic root of 4129398 is about 160.4336931685.

The spelling of 4129398 in words is "four million, one hundred twenty-nine thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 819 1638 2521 5042 7563 15126 17647 22689 32773 35294 45378 52941 65546 98319 105882 158823 196638 229411 294957 317646 458822 589914 688233 1376466 2064699 4129398