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66250752 = 211341263
BaseRepresentation
bin1111110010111…
…0100000000000
311121122212221120
43330232200000
5113430011002
610323552240
71433056611
oct374564000
9147585846
1066250752
1134440197
121a22b680
1310958139
148b27c08
155c39cbc
hex3f2e800

66250752 has 96 divisors (see below), whose sum is σ = 181621440. Its totient is φ = 21463040.

The previous prime is 66250747. The next prime is 66250753. The reversal of 66250752 is 25705266.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (66250753) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 251773 + ... + 252035.

It is an arithmetic number, because the mean of its divisors is an integer number (1891890).

Almost surely, 266250752 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 66250752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90810720).

66250752 is an abundant number, since it is smaller than the sum of its proper divisors (115370688).

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

66250752 is a wasteful number, since it uses less digits than its factorization.

66250752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 66250752 is about 8139.4564929116. The cubic root of 66250752 is about 404.6351477136.

The spelling of 66250752 in words is "sixty-six million, two hundred fifty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 256 263 328 384 492 512 526 656 768 789 984 1024 1052 1312 1536 1578 1968 2048 2104 2624 3072 3156 3936 4208 5248 6144 6312 7872 8416 10496 10783 12624 15744 16832 20992 21566 25248 31488 32349 33664 41984 43132 50496 62976 64698 67328 83968 86264 100992 125952 129396 134656 172528 201984 251904 258792 269312 345056 403968 517584 538624 690112 807936 1035168 1380224 1615872 2070336 2760448 4140672 5520896 8281344 11041792 16562688 22083584 33125376 66250752