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66944448 = 2633192039
BaseRepresentation
bin1111111101011…
…1110111000000
311122222010112000
43333113313000
5114114210243
610350504000
71442006214
oct377276700
9148863460
1066944448
113487439a
121a505000
1310b3bacc
148c68944
155d255d3
hex3fd7dc0

66944448 has 112 divisors (see below), whose sum is σ = 207264000. Its totient is φ = 21129984.

The previous prime is 66944417. The next prime is 66944503. The reversal of 66944448 is 84444966.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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, 31813 + ... + 33851.

Almost surely, 266944448 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 66944448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103632000).

66944448 is an abundant number, since it is smaller than the sum of its proper divisors (140319552).

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

66944448 is a wasteful number, since it uses less digits than its factorization.

66944448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079 (or 2063 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 66944448 is about 8181.9586897026. The cubic root of 66944448 is about 406.0425267076.

The spelling of 66944448 in words is "sixty-six million, nine hundred forty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 144 152 171 192 216 228 288 304 342 432 456 513 576 608 684 864 912 1026 1216 1368 1728 1824 2039 2052 2736 3648 4078 4104 5472 6117 8156 8208 10944 12234 16312 16416 18351 24468 32624 32832 36702 38741 48936 55053 65248 73404 77482 97872 110106 116223 130496 146808 154964 195744 220212 232446 293616 309928 348669 391488 440424 464892 587232 619856 697338 880848 929784 1046007 1174464 1239712 1394676 1761696 1859568 2092014 2479424 2789352 3523392 3719136 4184028 5578704 7438272 8368056 11157408 16736112 22314816 33472224 66944448