Search a number
-
+
66334848 = 273227761
BaseRepresentation
bin1111110100001…
…1000010000000
311121211011022020
43331003002000
5113440203343
610325441440
71433560026
oct375030200
9147734266
1066334848
1134498398
121a270280
13109874b8
148b4a716
155c54b83
hex3f43080

66334848 has 64 divisors (see below), whose sum is σ = 177210720. Its totient is φ = 21985280.

The previous prime is 66334841. The next prime is 66334903. The reversal of 66334848 is 84843366.

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

It is a Smith number, since the sum of its digits (42) 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 not an unprimeable number, because it can be changed into a prime (66334841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86788 + ... + 87548.

Almost surely, 266334848 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 66334848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88605360).

66334848 is an abundant number, since it is smaller than the sum of its proper divisors (110875872).

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

66334848 is a wasteful number, since it uses less digits than its factorization.

66334848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 993 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 66334848 is about 8144.6208014861. The cubic root of 66334848 is about 404.8062844353.

It can be divided in two parts, 663 and 34848, that added together give a triangular number (35511 = T266).

The spelling of 66334848 in words is "sixty-six million, three hundred thirty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 227 384 454 681 761 908 1362 1522 1816 2283 2724 3044 3632 4566 5448 6088 7264 9132 10896 12176 14528 18264 21792 24352 29056 36528 43584 48704 73056 87168 97408 146112 172747 292224 345494 518241 690988 1036482 1381976 2072964 2763952 4145928 5527904 8291856 11055808 16583712 22111616 33167424 66334848