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448706050 = 2521341113149
BaseRepresentation
bin11010101111101…
…011011000000010
31011021022121222121
4122233223120002
51404332043200
6112305154454
714055636622
oct3257533002
91137277877
10448706050
11210312551
1210632ba2a
1371c65a50
1443842882
15295d4e1a
hex1abeb602

448706050 has 96 divisors (see below), whose sum is σ = 935096400. Its totient is φ = 159129600.

The previous prime is 448706029. The next prime is 448706077. The reversal of 448706050 is 50607844.

It can be written as a sum of positive squares in 24 ways, for example, as 378263601 + 70442449 = 19449^2 + 8393^2 .

It is a super-3 number, since 3×4487060503 (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 448705997 and 448706015.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3011376 + ... + 3011524.

Almost surely, 2448706050 is an apocalyptic number.

448706050 is an abundant number, since it is smaller than the sum of its proper divisors (486390350).

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

448706050 is a wasteful number, since it uses less digits than its factorization.

448706050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 448706050 is about 21182.6827857097. The cubic root of 448706050 is about 765.5742338684.

The spelling of 448706050 in words is "four hundred forty-eight million, seven hundred six thousand, fifty".

Divisors: 1 2 5 10 13 25 26 41 50 65 82 113 130 149 205 226 298 325 410 533 565 650 745 1025 1066 1130 1469 1490 1937 2050 2665 2825 2938 3725 3874 4633 5330 5650 6109 7345 7450 9266 9685 12218 13325 14690 16837 19370 23165 26650 30545 33674 36725 46330 48425 60229 61090 73450 79417 84185 96850 115825 120458 152725 158834 168370 218881 231650 301145 305450 397085 420925 437762 602290 690317 794170 841850 1094405 1380634 1505725 1985425 2188810 3011450 3451585 3970850 5472025 6903170 8974121 10944050 17257925 17948242 34515850 44870605 89741210 224353025 448706050