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66436216 = 23711293719
BaseRepresentation
bin1111110101101…
…1110001111000
311122000022100121
43331123301320
5114001424331
610331543024
71434461410
oct375336170
9148008317
1066436216
1134557570
121a2baa74
13109c1692
148b75640
155c74c11
hex3f5bc78

66436216 has 64 divisors (see below), whose sum is σ = 160704000. Its totient is φ = 24984960.

The previous prime is 66436211. The next prime is 66436243. The reversal of 66436216 is 61263466.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66436211) 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 15 ways as a sum of consecutive naturals, for example, 16005 + ... + 19723.

It is an arithmetic number, because the mean of its divisors is an integer number (2511000).

Almost surely, 266436216 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 66436216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80352000).

66436216 is an abundant number, since it is smaller than the sum of its proper divisors (94267784).

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

66436216 is a wasteful number, since it uses less digits than its factorization.

66436216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3772 (or 3768 counting only the distinct ones).

The product of its digits is 31104, while the sum is 34.

The square root of 66436216 is about 8150.8414289569. The cubic root of 66436216 is about 405.0123778161.

The spelling of 66436216 in words is "sixty-six million, four hundred thirty-six thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 11 14 22 28 29 44 56 58 77 88 116 154 203 232 308 319 406 616 638 812 1276 1624 2233 2552 3719 4466 7438 8932 14876 17864 26033 29752 40909 52066 81818 104132 107851 163636 208264 215702 286363 327272 431404 572726 754957 862808 1145452 1186361 1509914 2290904 2372722 3019828 4745444 6039656 8304527 9490888 16609054 33218108 66436216