Search a number
-
+
449574012 = 223234133659
BaseRepresentation
bin11010110010111…
…111010001111100
31011022221201121100
4122302333101330
51410042332022
6112335533100
714066213256
oct3262772174
91138851540
10449574012
11210855678
1210668a190
13721aab34
14439cacd6
15297071ac
hex1acbf47c

449574012 has 36 divisors (see below), whose sum is σ = 1137066840. Its totient is φ = 149773152.

The previous prime is 449574001. The next prime is 449574019. The reversal of 449574012 is 210475944.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×4495740122 = 404233584531552288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449574019) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121039 + ... + 124697.

It is an arithmetic number, because the mean of its divisors is an integer number (31585190).

Almost surely, 2449574012 is an apocalyptic number.

It is an amenable number.

449574012 is an abundant number, since it is smaller than the sum of its proper divisors (687492828).

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

449574012 is a wasteful number, since it uses less digits than its factorization.

449574012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7082 (or 7077 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 449574012 is about 21203.1604248046. The cubic root of 449574012 is about 766.0675496652.

The spelling of 449574012 in words is "four hundred forty-nine million, five hundred seventy-four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 3413 3659 6826 7318 10239 10977 13652 14636 20478 21954 30717 32931 40956 43908 61434 65862 122868 131724 12488167 24976334 37464501 49952668 74929002 112393503 149858004 224787006 449574012