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20048301 = 3272132269
BaseRepresentation
bin100110001111…
…0100110101101
31101201120002200
41030132212231
520113021201
61553412113
7332256600
oct114364655
941646080
1020048301
1110353649
12686a039
1341cc400
14293c337
151b60386
hex131e9ad

20048301 has 54 divisors (see below), whose sum is σ = 36612810. Its totient is φ = 10535616.

The previous prime is 20048267. The next prime is 20048311. The reversal of 20048301 is 10384002.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1334025 + 18714276 = 1155^2 + 4326^2 .

It is not a de Polignac number, because 20048301 - 222 = 15853997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20048311) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 74395 + ... + 74663.

It is an arithmetic number, because the mean of its divisors is an integer number (678015).

Almost surely, 220048301 is an apocalyptic number.

20048301 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20048301 is a deficient number, since it is larger than the sum of its proper divisors (16564509).

20048301 is a wasteful number, since it uses less digits than its factorization.

20048301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 292 counting only the distinct ones).

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

The square root of 20048301 is about 4477.5329144519. The cubic root of 20048301 is about 271.6601011290.

The spelling of 20048301 in words is "twenty million, forty-eight thousand, three hundred one".

Divisors: 1 3 7 9 13 21 39 49 63 91 117 147 169 269 273 441 507 637 807 819 1183 1521 1883 1911 2421 3497 3549 5649 5733 8281 10491 10647 13181 16947 24479 24843 31473 39543 45461 73437 74529 118629 136383 171353 220311 318227 409149 514059 954681 1542177 2227589 2864043 6682767 20048301