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2852430 = 235717247
BaseRepresentation
bin1010111000011001001110
312100220210120
422320121032
51212234210
6141045410
733150060
oct12703116
95326716
102852430
111679089
12b56866
1378b439
14543730
153b5270
hex2b864e

2852430 has 96 divisors (see below), whose sum is σ = 8487936. Its totient is φ = 600576.

The previous prime is 2852429. The next prime is 2852449. The reversal of 2852430 is 342582.

2852430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2852430.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 60667 + ... + 60713.

It is an arithmetic number, because the mean of its divisors is an integer number (88416).

22852430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2852430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4243968).

2852430 is an abundant number, since it is smaller than the sum of its proper divisors (5635506).

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

2852430 is a wasteful number, since it uses less digits than its factorization.

2852430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2852430 is about 1688.9138521547. The cubic root of 2852430 is about 141.8202778215.

The spelling of 2852430 in words is "two million, eight hundred fifty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 47 51 70 85 94 102 105 119 141 170 210 235 238 255 282 289 329 357 470 510 578 595 658 705 714 799 867 987 1190 1410 1445 1598 1645 1734 1785 1974 2023 2397 2890 3290 3570 3995 4046 4335 4794 4935 5593 6069 7990 8670 9870 10115 11186 11985 12138 13583 16779 20230 23970 27166 27965 30345 33558 40749 55930 60690 67915 81498 83895 95081 135830 167790 190162 203745 285243 407490 475405 570486 950810 1426215 2852430