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449514312 = 233132192307
BaseRepresentation
bin11010110010110…
…000101101001000
31011022211200201020
4122302300231020
51410033424222
6112334352440
714065544232
oct3262605510
91138750636
10449514312
11210814835
1210665b720
1372189900
14439b3252
15296e465c
hex1acb0b48

449514312 has 144 divisors (see below), whose sum is σ = 1288481040. Its totient is φ = 130605696.

The previous prime is 449514281. The next prime is 449514343. The reversal of 449514312 is 213415944.

It is an interprime number because it is at equal distance from previous prime (449514281) and next prime (449514343).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1464063 + ... + 1464369.

It is an arithmetic number, because the mean of its divisors is an integer number (8947785).

Almost surely, 2449514312 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 449514312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644240520).

449514312 is an abundant number, since it is smaller than the sum of its proper divisors (838966728).

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

449514312 is a wasteful number, since it uses less digits than its factorization.

449514312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 344 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 449514312 is about 21201.7525690684. The cubic root of 449514312 is about 766.0336388548.

It can be divided in two parts, 449514 and 312, that added together give a triangular number (449826 = T948).

The spelling of 449514312 in words is "four hundred forty-nine million, five hundred fourteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 169 228 247 307 312 338 361 456 494 507 614 676 722 741 921 988 1014 1083 1228 1352 1444 1482 1842 1976 2028 2166 2456 2888 2964 3211 3684 3991 4056 4332 4693 5833 5928 6422 7368 7982 8664 9386 9633 11666 11973 12844 14079 15964 17499 18772 19266 23332 23946 25688 28158 31928 34998 37544 38532 46664 47892 51883 56316 61009 69996 75829 77064 95784 103766 110827 112632 122018 139992 151658 155649 183027 207532 221654 227487 244036 303316 311298 332481 366054 415064 443308 454974 488072 606632 622596 664962 732108 886616 909948 985777 1245192 1329924 1440751 1464216 1819896 1971554 2659848 2881502 2957331 3943108 4322253 5763004 5914662 7886216 8644506 11526008 11829324 17289012 18729763 23658648 34578024 37459526 56189289 74919052 112378578 149838104 224757156 449514312