Search a number
-
+
42564468 = 2233547039
BaseRepresentation
bin1010001001011…
…1101101110100
32222002111110210
42202113231310
541344030333
64120145420
71024535442
oct242275564
988074423
1042564468
1122032351
1212308270
138a83b9b
14591db92
153b0ba63
hex2897b74

42564468 has 12 divisors (see below), whose sum is σ = 99317120. Its totient is φ = 14188152.

The previous prime is 42564463. The next prime is 42564479. The reversal of 42564468 is 86446524.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-3 number, since 3×425644683 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42564463) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1773508 + ... + 1773531.

Almost surely, 242564468 is an apocalyptic number.

It is an amenable number.

42564468 is an abundant number, since it is smaller than the sum of its proper divisors (56752652).

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

42564468 is a wasteful number, since it uses less digits than its factorization.

42564468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3547046 (or 3547044 counting only the distinct ones).

The product of its digits is 184320, while the sum is 39.

The square root of 42564468 is about 6524.1450014542. The cubic root of 42564468 is about 349.1529667186.

The spelling of 42564468 in words is "forty-two million, five hundred sixty-four thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 3547039 7094078 10641117 14188156 21282234 42564468