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133283232 = 253451421
BaseRepresentation
bin1111111000110…
…11110110100000
3100021210111020000
413330123312200
5233110030412
621120420000
73205613565
oct774336640
9307714200
10133283232
1169264735
1238777600
13217c8024
14139b686c
15ba7b4dc
hex7f1bda0

133283232 has 60 divisors (see below), whose sum is σ = 391989906. Its totient is φ = 44426880.

The previous prime is 133283219. The next prime is 133283243. The reversal of 133283232 is 232382331.

133283232 is a `hidden beast` number, since 1 + 332 + 8 + 323 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 108243216 + 25040016 = 10404^2 + 5004^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 133283196 and 133283205.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 23119 + ... + 28302.

Almost surely, 2133283232 is an apocalyptic number.

133283232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133283232 is an abundant number, since it is smaller than the sum of its proper divisors (258706674).

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

133283232 is an equidigital number, since it uses as much as digits as its factorization.

133283232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51443 (or 51426 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 133283232 is about 11544.8357285844. The cubic root of 133283232 is about 510.8089583721.

Subtracting 133283232 from its reverse (232382331), we obtain a palindrome (99099099).

The spelling of 133283232 in words is "one hundred thirty-three million, two hundred eighty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 51421 102842 154263 205684 308526 411368 462789 617052 822736 925578 1234104 1388367 1645472 1851156 2468208 2776734 3702312 4165101 4936416 5553468 7404624 8330202 11106936 14809248 16660404 22213872 33320808 44427744 66641616 133283232