Search a number
-
+
8042280 = 2335292311
BaseRepresentation
bin11110101011011100101000
3120010120221020
4132223130220
54024323110
6444212440
7125233611
oct36533450
916116836
108042280
1145a3314
12283a120
13188775c
1410d4c08
15a8cd70
hex7ab728

8042280 has 64 divisors (see below), whose sum is σ = 24969600. Its totient is φ = 2069760.

The previous prime is 8042267. The next prime is 8042303. The reversal of 8042280 is 822408.

8042280 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 8042280.

It is an unprimeable number.

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, 2325 + ... + 4635.

It is an arithmetic number, because the mean of its divisors is an integer number (390150).

Almost surely, 28042280 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 8042280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12484800).

8042280 is an abundant number, since it is smaller than the sum of its proper divisors (16927320).

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

8042280 is a wasteful number, since it uses less digits than its factorization.

8042280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2354 (or 2350 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 8042280 is about 2835.8913942533. The cubic root of 8042280 is about 200.3517144555.

Adding to 8042280 its reverse (822408), we get a palindrome (8864688).

The spelling of 8042280 in words is "eight million, forty-two thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 2311 3480 4622 6933 9244 11555 13866 18488 23110 27732 34665 46220 55464 67019 69330 92440 134038 138660 201057 268076 277320 335095 402114 536152 670190 804228 1005285 1340380 1608456 2010570 2680760 4021140 8042280