Search a number
-
+
66904032 = 2531353609
BaseRepresentation
bin1111111100110…
…1111111100000
311122220002002010
43333031333200
5114111412112
610345552520
71441450326
oct377157740
9148802063
1066904032
1134846a98
121a4a5740
1310b265b0
148c57d16
155d1863c
hex3fcdfe0

66904032 has 48 divisors (see below), whose sum is σ = 189136080. Its totient is φ = 20585472.

The previous prime is 66904031. The next prime is 66904049. The reversal of 66904032 is 23040966.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×669040322 = 8952298995714048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66904031) 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, 25557 + ... + 28052.

It is an arithmetic number, because the mean of its divisors is an integer number (3940335).

Almost surely, 266904032 is an apocalyptic number.

It is an amenable number.

66904032 is an abundant number, since it is smaller than the sum of its proper divisors (122232048).

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

66904032 is a wasteful number, since it uses less digits than its factorization.

66904032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53635 (or 53627 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 66904032 is about 8179.4884925648. The cubic root of 66904032 is about 405.9607976579.

Adding to 66904032 its reverse (23040966), we get a palindrome (89944998).

The spelling of 66904032 in words is "sixty-six million, nine hundred four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 53609 107218 160827 214436 321654 428872 643308 696917 857744 1286616 1393834 1715488 2090751 2573232 2787668 4181502 5146464 5575336 8363004 11150672 16726008 22301344 33452016 66904032