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449503812 = 2232235310243
BaseRepresentation
bin11010110010101…
…110001001000100
31011022211011022100
4122302232021010
51410033110222
6112334232100
714065501512
oct3262561104
91138734270
10449503812
1121080795a
12106655630
1372184bb4
14439ad4b2
15296e14ac
hex1acae244

449503812 has 72 divisors (see below), whose sum is σ = 1208136384. Its totient is φ = 140602176.

The previous prime is 449503777. The next prime is 449503819. The reversal of 449503812 is 218305944.

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 (449503819) 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 23 ways as a sum of consecutive naturals, for example, 38763 + ... + 49005.

It is an arithmetic number, because the mean of its divisors is an integer number (16779672).

Almost surely, 2449503812 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 449503812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604068192).

449503812 is an abundant number, since it is smaller than the sum of its proper divisors (758632572).

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

449503812 is a wasteful number, since it uses less digits than its factorization.

449503812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10329 (or 10324 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 449503812 is about 21201.5049465834. The cubic root of 449503812 is about 766.0276743314.

The spelling of 449503812 in words is "four hundred forty-nine million, five hundred three thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 53 69 92 106 138 159 207 212 276 318 414 477 636 828 954 1219 1908 2438 3657 4876 7314 10243 10971 14628 20486 21942 30729 40972 43884 61458 92187 122916 184374 235589 368748 471178 542879 706767 942356 1085758 1413534 1628637 2120301 2171516 2827068 3257274 4240602 4885911 6514548 8481204 9771822 12486217 19543644 24972434 37458651 49944868 74917302 112375953 149834604 224751906 449503812