Search a number
-
+
66156528 = 24311312197
BaseRepresentation
bin1111110001011…
…1011111110000
311121111002200210
43330113133300
5113414002103
610321544120
71432215114
oct374273760
9147432623
1066156528
1134386419
121a1a5040
1310924299
148b01744
155c1be03
hex3f177f0

66156528 has 40 divisors (see below), whose sum is σ = 172430928. Its totient is φ = 21855232.

The previous prime is 66156509. The next prime is 66156529. The reversal of 66156528 is 82565166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66156529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 675 + ... + 11522.

Almost surely, 266156528 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 66156528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86215464).

66156528 is an abundant number, since it is smaller than the sum of its proper divisors (106274400).

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

66156528 is a wasteful number, since it uses less digits than its factorization.

66156528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12321 (or 12315 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 66156528 is about 8133.6663319809. Note that the first 3 decimals coincide. The cubic root of 66156528 is about 404.4432282252.

The spelling of 66156528 in words is "sixty-six million, one hundred fifty-six thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 226 339 452 678 904 1356 1808 2712 5424 12197 24394 36591 48788 73182 97576 146364 195152 292728 585456 1378261 2756522 4134783 5513044 8269566 11026088 16539132 22052176 33078264 66156528