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66431456 = 2572133259
BaseRepresentation
bin1111110101101…
…0100111100000
311122000001211022
43331122213200
5114001301311
610331505012
71434441500
oct375324740
9148001738
1066431456
1134553a33
121a2b8168
13109bc470
148b73a00
155c735db
hex3f5a9e0

66431456 has 72 divisors (see below), whose sum is σ = 163893240. Its totient is φ = 26272512.

The previous prime is 66431441. The next prime is 66431459. The reversal of 66431456 is 65413466.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66431459) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18755 + ... + 22013.

It is an arithmetic number, because the mean of its divisors is an integer number (2276295).

Almost surely, 266431456 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 66431456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81946620).

66431456 is an abundant number, since it is smaller than the sum of its proper divisors (97461784).

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

66431456 is a wasteful number, since it uses less digits than its factorization.

66431456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3296 (or 3281 counting only the distinct ones).

The product of its digits is 51840, while the sum is 35.

The square root of 66431456 is about 8150.5494293330. The cubic root of 66431456 is about 405.0027048542.

The spelling of 66431456 in words is "sixty-six million, four hundred thirty-one thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 91 98 104 112 182 196 208 224 364 392 416 637 728 784 1274 1456 1568 2548 2912 3259 5096 6518 10192 13036 20384 22813 26072 42367 45626 52144 84734 91252 104288 159691 169468 182504 296569 319382 338936 365008 593138 638764 677872 730016 1186276 1277528 1355744 2075983 2372552 2555056 4151966 4745104 5110112 8303932 9490208 16607864 33215728 66431456