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449664732 = 2232113593163
BaseRepresentation
bin11010110011010…
…101011011011100
31011100010100001100
4122303111123130
51410103232412
6112341513100
714100041616
oct3263253334
91140110040
10449664732
11210907850
12106712790
137221020a
1443a11db6
1529723edc
hex1acd56dc

449664732 has 72 divisors (see below), whose sum is σ = 1243831680. Its totient is φ = 135839520.

The previous prime is 449664727. The next prime is 449664751. The reversal of 449664732 is 237466944.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140583 + ... + 143745.

It is an arithmetic number, because the mean of its divisors is an integer number (17275440).

Almost surely, 2449664732 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 449664732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621915840).

449664732 is an abundant number, since it is smaller than the sum of its proper divisors (794166948).

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

449664732 is a wasteful number, since it uses less digits than its factorization.

449664732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3543 (or 3538 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 449664732 is about 21205.2996206137. The cubic root of 449664732 is about 766.1190747179.

The spelling of 449664732 in words is "four hundred forty-nine million, six hundred sixty-four thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 359 396 718 1077 1436 2154 3163 3231 3949 4308 6326 6462 7898 9489 11847 12652 12924 15796 18978 23694 28467 34793 35541 37956 47388 56934 69586 71082 104379 113868 139172 142164 208758 313137 417516 626274 1135517 1252548 2271034 3406551 4542068 6813102 10219653 12490687 13626204 20439306 24981374 37472061 40878612 49962748 74944122 112416183 149888244 224832366 449664732