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448086474 = 23211359317
BaseRepresentation
bin11010101101010…
…100000111001010
31011020011011002100
4122231110013022
51404202231344
6112244014230
714050446363
oct3255240712
91136134070
10448086474
1120aa2a000
12106091376
1371aa9a34
1443720b6a
1529511569
hex1ab541ca

448086474 has 96 divisors (see below), whose sum is σ = 1089391680. Its totient is φ = 133061280.

The previous prime is 448086473. The next prime is 448086491. The reversal of 448086474 is 474680844.

It is not an unprimeable number, because it can be changed into a prime (448086473) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1413364 + ... + 1413680.

It is an arithmetic number, because the mean of its divisors is an integer number (11347830).

Almost surely, 2448086474 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448086474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544695840).

448086474 is an abundant number, since it is smaller than the sum of its proper divisors (641305206).

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

448086474 is a wasteful number, since it uses less digits than its factorization.

448086474 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The square root of 448086474 is about 21168.0531461918. The cubic root of 448086474 is about 765.2217017307.

The spelling of 448086474 in words is "four hundred forty-eight million, eighty-six thousand, four hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 22 33 59 66 99 118 121 177 198 242 317 354 363 531 634 649 726 951 1062 1089 1298 1331 1902 1947 2178 2662 2853 3487 3894 3993 5706 5841 6974 7139 7986 10461 11682 11979 14278 18703 20922 21417 23958 31383 37406 38357 42834 56109 62766 64251 76714 78529 112218 115071 128502 157058 168327 205733 230142 235587 336654 345213 411466 421927 471174 617199 690426 706761 843854 1234398 1265781 1413522 1851597 2263063 2531562 3703194 3797343 4526126 6789189 7594686 13578378 20367567 24893693 40735134 49787386 74681079 149362158 224043237 448086474