Search a number
-
+
66049424 = 2472412447
BaseRepresentation
bin1111101111110…
…1010110010000
311121021122202222
43323331112100
5113402040144
610315400212
71431260630
oct373752620
9147248688
1066049424
1134312a01
121a153068
13108b75cc
148ab46c0
155bea2ee
hex3efd590

66049424 has 40 divisors (see below), whose sum is σ = 146919168. Its totient is φ = 28177920.

The previous prime is 66049421. The next prime is 66049439. The reversal of 66049424 is 42494066.

It is not an unprimeable number, because it can be changed into a prime (66049421) 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, 25769 + ... + 28215.

Almost surely, 266049424 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 66049424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73459584).

66049424 is an abundant number, since it is smaller than the sum of its proper divisors (80869744).

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

66049424 is a wasteful number, since it uses less digits than its factorization.

66049424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2703 (or 2697 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The square root of 66049424 is about 8127.0796723054. The cubic root of 66049424 is about 404.2248527747.

The spelling of 66049424 in words is "sixty-six million, forty-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 241 482 964 1687 1928 2447 3374 3856 4894 6748 9788 13496 17129 19576 26992 34258 39152 68516 137032 274064 589727 1179454 2358908 4128089 4717816 8256178 9435632 16512356 33024712 66049424