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8480241 = 337114079
BaseRepresentation
bin100000010110…
…010111110001
3120221211201000
4200112113301
54132331431
6501432213
7132036510
oct40262761
916854630
108480241
114872370
122a0b669
1319abbc3
1411aa677
15b279e6
hex8165f1

8480241 has 32 divisors (see below), whose sum is σ = 15667200. Its totient is φ = 4404240.

The previous prime is 8480239. The next prime is 8480243. The reversal of 8480241 is 1420848.

8480241 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8480239) and next prime (8480243).

It is not a de Polignac number, because 8480241 - 21 = 8480239 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (8480243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40 + ... + 4118.

It is an arithmetic number, because the mean of its divisors is an integer number (489600).

Almost surely, 28480241 is an apocalyptic number.

It is an amenable number.

8480241 is a deficient number, since it is larger than the sum of its proper divisors (7186959).

8480241 is a wasteful number, since it uses less digits than its factorization.

8480241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4106 (or 4100 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 8480241 is about 2912.0853352881. The cubic root of 8480241 is about 203.9244962797.

It can be divided in two parts, 8 and 480241, that added together give a square (480249 = 6932).

The spelling of 8480241 in words is "eight million, four hundred eighty thousand, two hundred forty-one".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 693 2079 4079 12237 28553 36711 44869 85659 110133 134607 256977 314083 403821 770931 942249 1211463 2826747 8480241