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8003241 = 32232412
BaseRepresentation
bin11110100001111010101001
3120001121101100
4132201322221
54022100431
6443312013
7125012031
oct36417251
916047340
108003241
114576a54
12281b609
131872a5c
1410c48c1
15a814e6
hex7a1ea9

8003241 has 27 divisors (see below), whose sum is σ = 12386647. Its totient is φ = 4979040.

The previous prime is 8003231. The next prime is 8003251. The reversal of 8003241 is 1423008.

It is a happy number.

The square root of 8003241 is 2829.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (8003231) and next prime (8003251).

It can be written as a sum of positive squares in only one way, i.e., 385641 + 7617600 = 621^2 + 2760^2 .

It is a de Polignac number, because none of the positive numbers 2k-8003241 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (8003201) 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 26 ways as a sum of consecutive naturals, for example, 195181 + ... + 195221.

Almost surely, 28003241 is an apocalyptic number.

8003241 is the 2829-th square number.

8003241 is the 1415-th centered octagonal number.

It is an amenable number.

8003241 is a deficient number, since it is larger than the sum of its proper divisors (4383406).

8003241 is a wasteful number, since it uses less digits than its factorization.

8003241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 67 counting only the distinct ones).

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

The cubic root of 8003241 is about 200.0270046869.

Adding to 8003241 its reverse (1423008), we get a palindrome (9426249).

The spelling of 8003241 in words is "eight million, three thousand, two hundred forty-one".

Divisors: 1 3 9 23 41 69 123 207 369 529 943 1587 1681 2829 4761 5043 8487 15129 21689 38663 65067 115989 195201 347967 889249 2667747 8003241