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66621632 = 2671121229
BaseRepresentation
bin1111111000100…
…1000011000000
311122100201200212
43332021003000
5114023343012
610335533252
71436163110
oct376110300
9148321625
1066621632
1134673900
121a38a228
1310a57bac
148bc3040
155caeb22
hex3f890c0

66621632 has 84 divisors (see below), whose sum is σ = 166207440. Its totient is φ = 25935360.

The previous prime is 66621617. The next prime is 66621641. The reversal of 66621632 is 23612666.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 53594 + ... + 54822.

It is an arithmetic number, because the mean of its divisors is an integer number (1978660).

Almost surely, 266621632 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 66621632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83103720).

66621632 is an abundant number, since it is smaller than the sum of its proper divisors (99585808).

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

66621632 is a wasteful number, since it uses less digits than its factorization.

66621632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1249 counting only the distinct ones).

The product of its digits is 15552, while the sum is 32.

The square root of 66621632 is about 8162.2075445311. The cubic root of 66621632 is about 405.3888091583.

The spelling of 66621632 in words is "sixty-six million, six hundred twenty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 121 154 176 224 242 308 352 448 484 616 704 847 968 1229 1232 1694 1936 2458 2464 3388 3872 4916 4928 6776 7744 8603 9832 13519 13552 17206 19664 27038 27104 34412 39328 54076 54208 68824 78656 94633 108152 137648 148709 189266 216304 275296 297418 378532 432608 550592 594836 757064 865216 1040963 1189672 1514128 2081926 2379344 3028256 4163852 4758688 6056512 8327704 9517376 16655408 33310816 66621632