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8042301 = 331961257
BaseRepresentation
bin11110101011011100111101
3120010120222000
4132223130331
54024323201
6444212513
7125233641
oct36533475
916116860
108042301
1145a3333
12283a139
131887777
1410d4c21
15a8cd86
hex7ab73d

8042301 has 32 divisors (see below), whose sum is σ = 12796800. Its totient is φ = 4976640.

The previous prime is 8042267. The next prime is 8042303. The reversal of 8042301 is 1032408.

It is a happy number.

It is not a de Polignac number, because 8042301 - 214 = 8025917 is a prime.

8042301 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8042303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31165 + ... + 31421.

It is an arithmetic number, because the mean of its divisors is an integer number (399900).

Almost surely, 28042301 is an apocalyptic number.

It is an amenable number.

8042301 is a deficient number, since it is larger than the sum of its proper divisors (4754499).

8042301 is a wasteful number, since it uses less digits than its factorization.

8042301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 8042301 is about 2835.8950967904. The cubic root of 8042301 is about 200.3518888414.

Adding to 8042301 its reverse (1032408), we get a palindrome (9074709).

The spelling of 8042301 in words is "eight million, forty-two thousand, three hundred one".

Divisors: 1 3 9 19 27 57 61 171 183 257 513 549 771 1159 1647 2313 3477 4883 6939 10431 14649 15677 31293 43947 47031 131841 141093 297863 423279 893589 2680767 8042301