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448707552 = 253231031973
BaseRepresentation
bin11010101111101…
…011101111100000
31011021022201001020
4122233223233200
51404332120202
6112305205440
714055644166
oct3257535740
91137281036
10448707552
11210313697
12106330880
1371c66637
1443843236
15295d55bc
hex1abebbe0

448707552 has 96 divisors (see below), whose sum is σ = 1241630208. Its totient is φ = 141605376.

The previous prime is 448707551. The next prime is 448707557. The reversal of 448707552 is 255707844.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448707551) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226438 + ... + 228410.

It is an arithmetic number, because the mean of its divisors is an integer number (12933648).

Almost surely, 2448707552 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 448707552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620815104).

448707552 is an abundant number, since it is smaller than the sum of its proper divisors (792922656).

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

448707552 is a wasteful number, since it uses less digits than its factorization.

448707552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2112 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 42.

The square root of 448707552 is about 21182.7182391685. The cubic root of 448707552 is about 765.5750880960.

The spelling of 448707552 in words is "four hundred forty-eight million, seven hundred seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 103 138 184 206 276 309 368 412 552 618 736 824 1104 1236 1648 1973 2208 2369 2472 3296 3946 4738 4944 5919 7107 7892 9476 9888 11838 14214 15784 18952 23676 28428 31568 37904 45379 47352 56856 63136 75808 90758 94704 113712 136137 181516 189408 203219 227424 272274 363032 406438 544548 609657 726064 812876 1089096 1219314 1452128 1625752 2178192 2438628 3251504 4356384 4674037 4877256 6503008 9348074 9754512 14022111 18696148 19509024 28044222 37392296 56088444 74784592 112176888 149569184 224353776 448707552