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66482406 = 23219349557
BaseRepresentation
bin1111110110011…
…1000011100110
311122002122201100
43331213003212
5114004414111
610332540530
71435043154
oct375470346
9148078640
1066482406
1134589241
121a321746
1310a09703
148b883d4
155c83756
hex3f670e6

66482406 has 48 divisors (see below), whose sum is σ = 152334000. Its totient is φ = 20896704.

The previous prime is 66482389. The next prime is 66482407. The reversal of 66482406 is 60428466.

It is a happy number.

66482406 is a `hidden beast` number, since 6 + 648 + 2 + 4 + 0 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66482407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119080 + ... + 119636.

It is an arithmetic number, because the mean of its divisors is an integer number (3173625).

Almost surely, 266482406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66482406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76167000).

66482406 is an abundant number, since it is smaller than the sum of its proper divisors (85851594).

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

66482406 is a wasteful number, since it uses less digits than its factorization.

66482406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 66482406 is about 8153.6743864346. The cubic root of 66482406 is about 405.1062181391.

The spelling of 66482406 in words is "sixty-six million, four hundred eighty-two thousand, four hundred six".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 349 557 698 1047 1114 1671 2094 3141 3342 5013 6282 6631 10026 10583 13262 19893 21166 31749 39786 59679 63498 95247 119358 190494 194393 388786 583179 1166358 1749537 3499074 3693467 7386934 11080401 22160802 33241203 66482406