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4450000544 = 251127116187
BaseRepresentation
bin1000010010011110…
…11001111010100000
3102111010110110010222
410021033121322200
533103200004134
62013322542212
7215163244343
oct41117317240
912433413128
104450000544
111983a00300
12a42367968
1355bc1b722
1430301245a
151b0a13a2e
hex1093d9ea0

4450000544 has 72 divisors (see below), whose sum is σ = 9766026144. Its totient is φ = 1994115200.

The previous prime is 4450000543. The next prime is 4450000547.

4450000544 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (4450000543) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 266819 + ... + 283005.

It is an arithmetic number, because the mean of its divisors is an integer number (135639252).

Almost surely, 24450000544 is an apocalyptic number.

4450000544 is a gapful number since it is divisible by the number (44) 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 4450000544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4883013072).

4450000544 is an abundant number, since it is smaller than the sum of its proper divisors (5316025600).

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

4450000544 is a wasteful number, since it uses less digits than its factorization.

4450000544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16290 (or 16271 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

The square root of 4450000544 is about 66708.3243980839. The cubic root of 4450000544 is about 1644.8262235785.

It can be divided in two parts, 4450000 and 544, that added together give a palindrome (4450544).

The spelling of 4450000544 in words is "four billion, four hundred fifty million, five hundred forty-four", and thus it is an aban number.

Divisors: 1 2 4 8 11 16 22 32 44 71 88 121 142 176 242 284 352 484 568 781 968 1136 1562 1936 2272 3124 3872 6248 8591 12496 16187 17182 24992 32374 34364 64748 68728 129496 137456 178057 258992 274912 356114 517984 712228 1149277 1424456 1958627 2298554 2848912 3917254 4597108 5697824 7834508 9194216 12642047 15669016 18388432 25284094 31338032 36776864 50568188 62676064 101136376 139062517 202272752 278125034 404545504 556250068 1112500136 2225000272 4450000544