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201713248 = 25117572
BaseRepresentation
bin11000000010111…
…10011001100000
3112001120002120001
430001132121200
5403114310443
632003225344
74666351162
oct1401363140
9461502501
10201713248
11a3953170
1257678254
1332a37069
141cb0a932
1512a96d4d
hexc05e660

201713248 has 36 divisors (see below), whose sum is σ = 433798092. Its totient is φ = 91566720.

The previous prime is 201713221. The next prime is 201713251. The reversal of 201713248 is 842317102.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 266086 + ... + 266842.

It is an arithmetic number, because the mean of its divisors is an integer number (12049947).

Almost surely, 2201713248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201713248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216899046).

201713248 is an abundant number, since it is smaller than the sum of its proper divisors (232084844).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201713248 is an frugal number, since it uses more digits than its factorization.

201713248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 201713248 is about 14202.5789207453. The cubic root of 201713248 is about 586.4686579241.

The spelling of 201713248 in words is "two hundred one million, seven hundred thirteen thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 757 1514 3028 6056 8327 12112 16654 24224 33308 66616 133232 266464 573049 1146098 2292196 4584392 6303539 9168784 12607078 18337568 25214156 50428312 100856624 201713248