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448730028 = 2232172772647
BaseRepresentation
bin11010101111110…
…001001110101100
31011021100211212200
4122233301032230
51404333330103
6112305501500
714056066545
oct3257611654
91137324780
10448730028
1121032956a
12106341890
1371c73936
144384b4cc
15295dc0a3
hex1abf13ac

448730028 has 72 divisors (see below), whose sum is σ = 1205803872. Its totient is φ = 140216832.

The previous prime is 448730027. The next prime is 448730041. The reversal of 448730028 is 820037844.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 448729974 and 448730001.

It is not an unprimeable number, because it can be changed into a prime (448730027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168201 + ... + 170847.

It is an arithmetic number, because the mean of its divisors is an integer number (16747276).

Almost surely, 2448730028 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 448730028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602901936).

448730028 is an abundant number, since it is smaller than the sum of its proper divisors (757073844).

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

448730028 is a wasteful number, since it uses less digits than its factorization.

448730028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2951 (or 2946 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 448730028 is about 21183.2487593381. The cubic root of 448730028 is about 765.5878705704.

The spelling of 448730028 in words is "four hundred forty-eight million, seven hundred thirty thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 277 306 554 612 831 1108 1662 2493 2647 3324 4709 4986 5294 7941 9418 9972 10588 14127 15882 18836 23823 28254 31764 42381 44999 47646 56508 84762 89998 95292 134997 169524 179996 269994 404991 539988 733219 809982 1466438 1619964 2199657 2932876 4399314 6598971 8798628 12464723 13197942 24929446 26395884 37394169 49858892 74788338 112182507 149576676 224365014 448730028