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449403552 = 25341313337
BaseRepresentation
bin11010110010010…
…101101010100000
31011022122001210000
4122302111222200
51410021403202
6112332140000
714064603303
oct3262255240
91138561700
10449403552
112107495a4
12106607600
137214b380
1443984b3a
15296c191c
hex1ac95aa0

449403552 has 120 divisors (see below), whose sum is σ = 1423458036. Its totient is φ = 138267648.

The previous prime is 449403547. The next prime is 449403553. The reversal of 449403552 is 255304944.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 407878416 + 41525136 = 20196^2 + 6444^2 .

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

It is not an unprimeable number, because it can be changed into a prime (449403553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27028 + ... + 40364.

Almost surely, 2449403552 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 449403552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711729018).

449403552 is an abundant number, since it is smaller than the sum of its proper divisors (974054484).

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

449403552 is a wasteful number, since it uses less digits than its factorization.

449403552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13372 (or 13355 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 449403552 is about 21199.1403599297. The cubic root of 449403552 is about 765.9707169758.

The spelling of 449403552 in words is "four hundred forty-nine million, four hundred three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 288 312 324 351 416 432 468 624 648 702 864 936 1053 1248 1296 1404 1872 2106 2592 2808 3744 4212 5616 8424 11232 13337 16848 26674 33696 40011 53348 80022 106696 120033 160044 173381 213392 240066 320088 346762 360099 426784 480132 520143 640176 693524 720198 960264 1040286 1080297 1280352 1387048 1440396 1560429 1920528 2080572 2160594 2774096 2880792 3120858 3841056 4161144 4321188 4681287 5548192 5761584 6241716 8322288 8642376 9362574 11523168 12483432 14043861 16644576 17284752 18725148 24966864 28087722 34569504 37450296 49933728 56175444 74900592 112350888 149801184 224701776 449403552