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66832332 = 22376113043
BaseRepresentation
bin1111111011110…
…0011111001100
311122202102201120
43332330133030
5114102113312
610344240540
71441031310
oct376743714
9148672646
1066832332
11347a8136
121a470150
1310acca78
148c39b40
155d0228c
hex3fbc7cc

66832332 has 48 divisors (see below), whose sum is σ = 181155072. Its totient is φ = 18780480.

The previous prime is 66832331. The next prime is 66832343. The reversal of 66832332 is 23323866.

It is a junction number, because it is equal to n+sod(n) for n = 66832293 and 66832302.

It is not an unprimeable number, because it can be changed into a prime (66832331) 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, 1398 + ... + 11645.

It is an arithmetic number, because the mean of its divisors is an integer number (3774064).

Almost surely, 266832332 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 66832332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90577536).

66832332 is an abundant number, since it is smaller than the sum of its proper divisors (114322740).

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

66832332 is a wasteful number, since it uses less digits than its factorization.

66832332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13118 (or 13116 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

The square root of 66832332 is about 8175.1044030031. The cubic root of 66832332 is about 405.8157252186.

The spelling of 66832332 in words is "sixty-six million, eight hundred thirty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 61 84 122 183 244 366 427 732 854 1281 1708 2562 5124 13043 26086 39129 52172 78258 91301 156516 182602 273903 365204 547806 795623 1095612 1591246 2386869 3182492 4773738 5569361 9547476 11138722 16708083 22277444 33416166 66832332