Search a number
-
+
449032064 = 2713269851
BaseRepresentation
bin11010110000111…
…010111110000000
31011021221012012012
4122300322332000
51404423011224
6112320152052
714061465245
oct3260727600
91137835165
10449032064
11210515488
12106468628
137204b260
14438c95cc
152964b80e
hex1ac3af80

449032064 has 32 divisors (see below), whose sum is σ = 963371640. Its totient is φ = 207244800.

The previous prime is 449032043. The next prime is 449032069. The reversal of 449032064 is 460230944.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 449032064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449032069) 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, 133262 + ... + 136589.

Almost surely, 2449032064 is an apocalyptic number.

It is an amenable number.

449032064 is an abundant number, since it is smaller than the sum of its proper divisors (514339576).

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

449032064 is a wasteful number, since it uses less digits than its factorization.

449032064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269878 (or 269866 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 449032064 is about 21190.3766837685. The cubic root of 449032064 is about 765.7596020662.

The spelling of 449032064 in words is "four hundred forty-nine million, thirty-two thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 269851 539702 1079404 2158808 3508063 4317616 7016126 8635232 14032252 17270464 28064504 34540928 56129008 112258016 224516032 449032064