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11952801 = 3272373113
BaseRepresentation
bin101101100110…
…001010100001
3211111021011100
4231212022201
511024442201
61104105013
7203411550
oct55461241
924437140
1011952801
116824353
124005169
132626683
141831d97
1510b1886
hexb662a1

11952801 has 48 divisors (see below), whose sum is σ = 21056256. Its totient is φ = 6386688.

The previous prime is 11952797. The next prime is 11952817. The reversal of 11952801 is 10825911.

It is not a de Polignac number, because 11952801 - 22 = 11952797 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11952821) 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 47 ways as a sum of consecutive naturals, for example, 105721 + ... + 105833.

It is an arithmetic number, because the mean of its divisors is an integer number (438672).

Almost surely, 211952801 is an apocalyptic number.

It is an amenable number.

11952801 is a deficient number, since it is larger than the sum of its proper divisors (9103455).

11952801 is a wasteful number, since it uses less digits than its factorization.

11952801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 11952801 is about 3457.2823141884. The cubic root of 11952801 is about 228.6422909566.

The spelling of 11952801 in words is "eleven million, nine hundred fifty-two thousand, eight hundred one".

Divisors: 1 3 7 9 21 23 63 69 73 113 161 207 219 339 483 511 657 791 1017 1449 1533 1679 2373 2599 4599 5037 7119 7797 8249 11753 15111 18193 23391 24747 35259 54579 57743 74241 105777 163737 173229 189727 519687 569181 1328089 1707543 3984267 11952801