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449225028 = 22347414831
BaseRepresentation
bin11010110001101…
…010000101000100
31011022021222220000
4122301222011010
51410000200103
6112324241300
714063230650
oct3261520504
91138258800
10449225028
1121063745a
12106540230
13720b8035
1443939a60
1529688aa3
hex1ac6a144

449225028 has 120 divisors (see below), whose sum is σ = 1375148544. Its totient is φ = 125193600.

The previous prime is 449225003. The next prime is 449225033. The reversal of 449225028 is 820522944.

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 = 449224983 and 449225001.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 90573 + ... + 95403.

Almost surely, 2449225028 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 449225028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687574272).

449225028 is an abundant number, since it is smaller than the sum of its proper divisors (925923516).

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

449225028 is a wasteful number, since it uses less digits than its factorization.

449225028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4895 (or 4884 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 449225028 is about 21194.9292992451. The cubic root of 449225028 is about 765.8692771402.

The spelling of 449225028 in words is "four hundred forty-nine million, two hundred twenty-five thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 41 42 54 63 81 82 84 108 123 126 162 164 189 246 252 287 324 369 378 492 567 574 738 756 861 1107 1134 1148 1476 1722 2214 2268 2583 3321 3444 4428 4831 5166 6642 7749 9662 10332 13284 14493 15498 19324 23247 28986 30996 33817 43479 46494 57972 67634 86958 92988 101451 130437 135268 173916 198071 202902 260874 304353 391311 396142 405804 521748 594213 608706 782622 792284 913059 1188426 1217412 1386497 1565244 1782639 1826118 2376852 2739177 2772994 3565278 3652236 4159491 5347917 5478354 5545988 7130556 8318982 10695834 10956708 12478473 16043751 16637964 21391668 24956946 32087502 37435419 49913892 64175004 74870838 112306257 149741676 224612514 449225028