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449044992 = 2933112953
BaseRepresentation
bin11010110000111…
…110001000000000
31011021221211221000
4122300332020000
51404423414432
6112320332000
714061551034
oct3260761000
91137854830
10449044992
11210524170
12106474000
13720540c6
14438d01c4
152965057c
hex1ac3e200

449044992 has 160 divisors (see below), whose sum is σ = 1450532160. Its totient is φ = 136028160.

The previous prime is 449044969. The next prime is 449045017. The reversal of 449044992 is 299440944.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150588 + ... + 153540.

It is an arithmetic number, because the mean of its divisors is an integer number (9065826).

Almost surely, 2449044992 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 449044992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725266080).

449044992 is an abundant number, since it is smaller than the sum of its proper divisors (1001487168).

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

449044992 is a wasteful number, since it uses less digits than its factorization.

449044992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2991 (or 2969 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 449044992 is about 21190.6817257020. The cubic root of 449044992 is about 765.7669509438.

The spelling of 449044992 in words is "four hundred forty-nine million, forty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 256 264 288 297 352 384 396 432 512 528 576 594 704 768 792 864 1056 1152 1188 1408 1536 1584 1728 2112 2304 2376 2816 2953 3168 3456 4224 4608 4752 5632 5906 6336 6912 8448 8859 9504 11812 12672 13824 16896 17718 19008 23624 25344 26577 32483 35436 38016 47248 50688 53154 64966 70872 76032 79731 94496 97449 106308 129932 141744 152064 159462 188992 194898 212616 259864 283488 292347 318924 377984 389796 425232 519728 566976 584694 637848 755968 779592 850464 877041 1039456 1133952 1169388 1275696 1511936 1559184 1700928 1754082 2078912 2267904 2338776 2551392 3118368 3401856 3508164 4157824 4535808 4677552 5102784 6236736 6803712 7016328 8315648 9355104 10205568 12473472 13607424 14032656 16631296 18710208 20411136 24946944 28065312 37420416 40822272 49893888 56130624 74840832 112261248 149681664 224522496 449044992