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66443456 = 2619101541
BaseRepresentation
bin1111110101110…
…1100011000000
311122000200021202
43331131203000
5114002142311
610332040332
71434521462
oct375354300
9148020252
1066443456
1134561a52
121a3030a8
13109c4a71
148b78132
155c76e3b
hex3f5d8c0

66443456 has 56 divisors (see below), whose sum is σ = 140421360. Its totient is φ = 31104000.

The previous prime is 66443449. The next prime is 66443467. The reversal of 66443456 is 65434466.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122546 + ... + 123086.

Almost surely, 266443456 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 66443456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70210680).

66443456 is an abundant number, since it is smaller than the sum of its proper divisors (73977904).

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

66443456 is a wasteful number, since it uses less digits than its factorization.

66443456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 663 counting only the distinct ones).

The product of its digits is 207360, while the sum is 38.

The square root of 66443456 is about 8151.2855427840. The cubic root of 66443456 is about 405.0270895867.

The spelling of 66443456 in words is "sixty-six million, four hundred forty-three thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 101 152 202 304 404 541 608 808 1082 1216 1616 1919 2164 3232 3838 4328 6464 7676 8656 10279 15352 17312 20558 30704 34624 41116 54641 61408 82232 109282 122816 164464 218564 328928 437128 657856 874256 1038179 1748512 2076358 3497024 4152716 8305432 16610864 33221728 66443456