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66233472 = 2731371259
BaseRepresentation
bin1111110010101…
…0010010000000
311121122000020120
43330222102000
5113423432342
610323340240
71432655334
oct374522200
9147560216
1066233472
1134429208
121a221680
1310950306
148b217c4
155c34aec
hex3f2a480

66233472 has 64 divisors (see below), whose sum is σ = 177357600. Its totient is φ = 21899264.

The previous prime is 66233471. The next prime is 66233473. The reversal of 66233472 is 27433266.

It is an interprime number because it is at equal distance from previous prime (66233471) and next prime (66233473).

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (66233471) 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, 51979 + ... + 53237.

Almost surely, 266233472 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 66233472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88678800).

66233472 is an abundant number, since it is smaller than the sum of its proper divisors (111124128).

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

66233472 is a wasteful number, since it uses less digits than its factorization.

66233472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413 (or 1401 counting only the distinct ones).

The product of its digits is 36288, while the sum is 33.

The square root of 66233472 is about 8138.3949277483. The cubic root of 66233472 is about 404.5999646999.

The spelling of 66233472 in words is "sixty-six million, two hundred thirty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 137 192 274 384 411 548 822 1096 1259 1644 2192 2518 3288 3777 4384 5036 6576 7554 8768 10072 13152 15108 17536 20144 26304 30216 40288 52608 60432 80576 120864 161152 172483 241728 344966 483456 517449 689932 1034898 1379864 2069796 2759728 4139592 5519456 8279184 11038912 16558368 22077824 33116736 66233472