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449929944 = 23332083009
BaseRepresentation
bin11010110100010…
…110001011011000
31011100121210212000
4122310112023120
51410140224234
6112351321000
714102225052
oct3264261330
91140553760
10449929944
11210a79032
12106820160
13722a3b49
1443a808d2
1529777899
hex1ad162d8

449929944 has 32 divisors (see below), whose sum is σ = 1249806000. Its totient is φ = 149976576.

The previous prime is 449929943. The next prime is 449929957.

It is a happy number.

449929944 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449929943) 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, 1041289 + ... + 1041720.

Almost surely, 2449929944 is an apocalyptic number.

It is an amenable number.

449929944 is an abundant number, since it is smaller than the sum of its proper divisors (799876056).

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

449929944 is a wasteful number, since it uses less digits than its factorization.

449929944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2083024 (or 2083014 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 449929944 is about 21211.5521355699. The cubic root of 449929944 is about 766.2696639790.

It can be divided in two parts, 4499 and 29944, that added together give a palindrome (34443).

The spelling of 449929944 in words is "four hundred forty-nine million, nine hundred twenty-nine thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 2083009 4166018 6249027 8332036 12498054 16664072 18747081 24996108 37494162 49992216 56241243 74988324 112482486 149976648 224964972 449929944