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4289780 = 22511173137
BaseRepresentation
bin10000010111010011110100
322001221110202
4100113103310
52044233110
6231540032
751314435
oct20272364
98057422
104289780
11246aa80
12152a618
13b72741
147d948c
1559b0a5
hex4174f4

4289780 has 96 divisors (see below), whose sum is σ = 11031552. Its totient is φ = 1382400.

The previous prime is 4289771. The next prime is 4289783. The reversal of 4289780 is 879824.

4289780 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4289783) 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 31 ways as a sum of consecutive naturals, for example, 115922 + ... + 115958.

It is an arithmetic number, because the mean of its divisors is an integer number (114912).

Almost surely, 24289780 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 4289780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5515776).

4289780 is an abundant number, since it is smaller than the sum of its proper divisors (6741772).

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

4289780 is a wasteful number, since it uses less digits than its factorization.

4289780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 4289780 is about 2071.1784085394. The cubic root of 4289780 is about 162.4844008695.

Subtracting from 4289780 its product of nonzero digits (32256), we obtain a palindrome (4257524).

The spelling of 4289780 in words is "four million, two hundred eighty-nine thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 11 17 20 22 31 34 37 44 55 62 68 74 85 110 124 148 155 170 185 187 220 310 340 341 370 374 407 527 620 629 682 740 748 814 935 1054 1147 1258 1364 1628 1705 1870 2035 2108 2294 2516 2635 3145 3410 3740 4070 4588 5270 5735 5797 6290 6820 6919 8140 10540 11470 11594 12580 12617 13838 19499 22940 23188 25234 27676 28985 34595 38998 50468 57970 63085 69190 77996 97495 115940 126170 138380 194990 214489 252340 389980 428978 857956 1072445 2144890 4289780