Search a number
-
+
42903280 = 2457233331
BaseRepresentation
bin1010001110101…
…0011011110000
32222201201020101
42203222123300
541440401110
64131322144
71030446310
oct243523360
988651211
1042903280
1122243962
1212450354
138b72174
1459ab440
153b7713a
hex28ea6f0

42903280 has 80 divisors (see below), whose sum is σ = 118992384. Its totient is φ = 14065920.

The previous prime is 42903269. The next prime is 42903283. The reversal of 42903280 is 8230924.

42903280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42903283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11215 + ... + 14545.

Almost surely, 242903280 is an apocalyptic number.

42903280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42903280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59496192).

42903280 is an abundant number, since it is smaller than the sum of its proper divisors (76089104).

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

42903280 is a wasteful number, since it uses less digits than its factorization.

42903280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3374 (or 3368 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 42903280 is about 6550.0595417141. The cubic root of 42903280 is about 350.0769354681.

Subtracting from 42903280 its product of nonzero digits (3456), we obtain a palindrome (42899824).

The spelling of 42903280 in words is "forty-two million, nine hundred three thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 70 80 92 112 115 140 161 184 230 280 322 368 460 560 644 805 920 1288 1610 1840 2576 3220 3331 6440 6662 12880 13324 16655 23317 26648 33310 46634 53296 66620 76613 93268 116585 133240 153226 186536 233170 266480 306452 373072 383065 466340 536291 612904 766130 932680 1072582 1225808 1532260 1865360 2145164 2681455 3064520 4290328 5362910 6129040 8580656 10725820 21451640 42903280