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449586540 = 2232513229839
BaseRepresentation
bin11010110011000…
…010010101101100
31011022222100210100
4122303002111230
51410043232130
6112340111100
714066264634
oct3263022554
91138870710
10449586540
11210864027
12106695490
13721b3750
14439d16c4
152970ac60
hex1acc256c

449586540 has 144 divisors (see below), whose sum is σ = 1476820800. Its totient is φ = 110052864.

The previous prime is 449586499. The next prime is 449586541. The reversal of 449586540 is 45685944.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (449586541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 535441 + ... + 536279.

It is an arithmetic number, because the mean of its divisors is an integer number (10255700).

Almost surely, 2449586540 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 449586540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738410400).

449586540 is an abundant number, since it is smaller than the sum of its proper divisors (1027234260).

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

449586540 is a wasteful number, since it uses less digits than its factorization.

449586540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 449586540 is about 21203.4558504033. The cubic root of 449586540 is about 766.0746654421.

The spelling of 449586540 in words is "four hundred forty-nine million, five hundred eighty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 229 234 260 390 458 468 585 687 780 839 916 1145 1170 1374 1678 2061 2290 2340 2517 2748 2977 3356 3435 4122 4195 4580 5034 5954 6870 7551 8244 8390 8931 10068 10305 10907 11908 12585 13740 14885 15102 16780 17862 20610 21814 25170 26793 29770 30204 32721 35724 37755 41220 43628 44655 50340 53586 54535 59540 65442 75510 89310 98163 107172 109070 130884 133965 151020 163605 178620 192131 196326 218140 267930 327210 384262 392652 490815 535860 576393 654420 768524 960655 981630 1152786 1729179 1921310 1963260 2305572 2497703 2881965 3458358 3842620 4995406 5763930 6916716 7493109 8645895 9990812 11527860 12488515 14986218 17291790 22479327 24977030 29972436 34583580 37465545 44958654 49954060 74931090 89917308 112396635 149862180 224793270 449586540