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449691216 = 243132331333
BaseRepresentation
bin11010110011011…
…011111001010000
31011100011200101020
4122303123321100
51410110104331
6112342235440
714100212052
oct3263337120
91140150336
10449691216
11210925737
12106725b80
137221c2a0
1443a1b8d2
152972bc96
hex1acdbe50

449691216 has 80 divisors (see below), whose sum is σ = 1305499776. Its totient is φ = 132346368.

The previous prime is 449691211. The next prime is 449691217. The reversal of 449691216 is 612196944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449691211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1315 + ... + 30018.

Almost surely, 2449691216 is an apocalyptic number.

449691216 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449691216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652749888).

449691216 is an abundant number, since it is smaller than the sum of its proper divisors (855808560).

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

449691216 is a wasteful number, since it uses less digits than its factorization.

449691216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31380 (or 31374 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 449691216 is about 21205.9240779552. The cubic root of 449691216 is about 766.1341151823.

The spelling of 449691216 in words is "four hundred forty-nine million, six hundred ninety-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 46 48 52 69 78 92 104 138 156 184 208 276 299 312 368 552 598 624 897 1104 1196 1794 2392 3588 4784 7176 14352 31333 62666 93999 125332 187998 250664 375996 407329 501328 720659 751992 814658 1221987 1441318 1503984 1629316 2161977 2443974 2882636 3258632 4323954 4887948 5765272 6517264 8647908 9368567 9775896 11530544 17295816 18737134 19551792 28105701 34591632 37474268 56211402 74948536 112422804 149897072 224845608 449691216