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8248201 = 133197211
BaseRepresentation
bin11111011101101110001001
3120112001101221
4133131232021
54102420301
6452442041
7130052143
oct37355611
916461357
108248201
114723aa5
122919321
13192a3c0
141149c93
15acdda1
hex7ddb89

8248201 has 16 divisors (see below), whose sum is σ = 9307648. Its totient is φ = 7257600.

The previous prime is 8248187. The next prime is 8248211. The reversal of 8248201 is 1028428.

It is a cyclic number.

It is not a de Polignac number, because 8248201 - 219 = 7723913 is a prime.

It is a Duffinian number.

8248201 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8248211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38986 + ... + 39196.

It is an arithmetic number, because the mean of its divisors is an integer number (581728).

Almost surely, 28248201 is an apocalyptic number.

It is an amenable number.

8248201 is a deficient number, since it is larger than the sum of its proper divisors (1059447).

8248201 is a wasteful number, since it uses less digits than its factorization.

8248201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352.

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 8248201 is about 2871.9681404918. The cubic root of 8248201 is about 202.0473127093.

It can be divided in two parts, 824 and 8201, that added together give a square (9025 = 952).

The spelling of 8248201 in words is "eight million, two hundred forty-eight thousand, two hundred one".

Divisors: 1 13 31 97 211 403 1261 2743 3007 6541 20467 39091 85033 266071 634477 8248201