Search a number
-
+
4557072 = 2431367109
BaseRepresentation
bin10001011000100100010000
322120112010110
4101120210100
52131311242
6241401320
753506632
oct21304420
98515113
104557072
112632883
121639240
13c372c0
14868a52
1560039c
hex458910

4557072 has 80 divisors (see below), whose sum is σ = 12985280. Its totient is φ = 1368576.

The previous prime is 4557053. The next prime is 4557079. The reversal of 4557072 is 2707554.

It is not an unprimeable number, because it can be changed into a prime (4557079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41754 + ... + 41862.

It is an arithmetic number, because the mean of its divisors is an integer number (162316).

Almost surely, 24557072 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 4557072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6492640).

4557072 is an abundant number, since it is smaller than the sum of its proper divisors (8428208).

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

4557072 is a wasteful number, since it uses less digits than its factorization.

4557072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 30.

The square root of 4557072 is about 2134.7299595031. The cubic root of 4557072 is about 165.7913864653.

The spelling of 4557072 in words is "four million, five hundred fifty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 67 78 104 109 134 156 201 208 218 268 312 327 402 436 536 624 654 804 871 872 1072 1308 1417 1608 1742 1744 2613 2616 2834 3216 3484 4251 5226 5232 5668 6968 7303 8502 10452 11336 13936 14606 17004 20904 21909 22672 29212 34008 41808 43818 58424 68016 87636 94939 116848 175272 189878 284817 350544 379756 569634 759512 1139268 1519024 2278536 4557072