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448057064 = 23713738431
BaseRepresentation
bin11010101101001…
…100111011101000
31011020002122202002
4122231030323220
51404200311224
6112243230132
714050264550
oct3255147350
91136078662
10448057064
1120aa099a4
12106078348
1371a99530
1443714160
15295079ae
hex1ab4cee8

448057064 has 64 divisors (see below), whose sum is σ = 1048266240. Its totient is φ = 174804480.

The previous prime is 448057021. The next prime is 448057123. The reversal of 448057064 is 460750844.

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, 48929 + ... + 57359.

It is an arithmetic number, because the mean of its divisors is an integer number (16379160).

Almost surely, 2448057064 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 448057064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524133120).

448057064 is an abundant number, since it is smaller than the sum of its proper divisors (600209176).

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

448057064 is a wasteful number, since it uses less digits than its factorization.

448057064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8530 (or 8526 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 38.

The square root of 448057064 is about 21167.3584558867. The cubic root of 448057064 is about 765.2049596776.

The spelling of 448057064 in words is "four hundred forty-eight million, fifty-seven thousand, sixty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 73 91 104 146 182 292 364 511 584 728 949 1022 1898 2044 3796 4088 6643 7592 8431 13286 16862 26572 33724 53144 59017 67448 109603 118034 219206 236068 438412 472136 615463 767221 876824 1230926 1534442 2461852 3068884 4308241 4923704 6137768 8001019 8616482 16002038 17232964 32004076 34465928 56007133 64008152 112014266 224028532 448057064