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448888044 = 2231133710091
BaseRepresentation
bin11010110000010…
…111110011101100
31011021122212122010
4122300113303230
51404403404134
6112313121220
714060325333
oct3260276354
91137585563
10448888044
11210427260
121063b9210
1371cca837
144388cd1a
152961dce9
hex1ac17cec

448888044 has 48 divisors (see below), whose sum is σ = 1146128256. Its totient is φ = 135609600.

The previous prime is 448888019. The next prime is 448888087. The reversal of 448888044 is 440888844.

It is a happy number.

It is a super-2 number, since 2×4488880442 = 403000952092291872, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 448887984 and 448888002.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39439 + ... + 49529.

It is an arithmetic number, because the mean of its divisors is an integer number (23877672).

Almost surely, 2448888044 is an apocalyptic number.

448888044 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 448888044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573064128).

448888044 is an abundant number, since it is smaller than the sum of its proper divisors (697240212).

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

448888044 is a wasteful number, since it uses less digits than its factorization.

448888044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10446 (or 10444 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 48.

The square root of 448888044 is about 21186.9781705651. The cubic root of 448888044 is about 765.6777248466.

The spelling of 448888044 in words is "four hundred forty-eight million, eight hundred eighty-eight thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 337 674 1011 1348 2022 3707 4044 7414 10091 11121 14828 20182 22242 30273 40364 44484 60546 111001 121092 222002 333003 444004 666006 1332012 3400667 6801334 10202001 13602668 20404002 37407337 40808004 74814674 112222011 149629348 224444022 448888044