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449275068 = 22321147101239
BaseRepresentation
bin11010110001110…
…110010010111100
31011022101112112100
4122301312102330
51410003300233
6112325305100
714063526564
oct3261662274
91138345470
10449275068
11210671010
12106565190
1372104a48
144394dda4
1529698813
hex1ac764bc

449275068 has 144 divisors (see below), whose sum is σ = 1283143680. Its totient is φ = 131376000.

The previous prime is 449275067. The next prime is 449275087. The reversal of 449275068 is 860572944.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449275061) 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, 1879693 + ... + 1879931.

It is an arithmetic number, because the mean of its divisors is an integer number (8910720).

Almost surely, 2449275068 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 449275068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641571840).

449275068 is an abundant number, since it is smaller than the sum of its proper divisors (833868612).

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

449275068 is a wasteful number, since it uses less digits than its factorization.

449275068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 449275068 is about 21196.1097374023. The cubic root of 449275068 is about 765.8977132789.

The spelling of 449275068 in words is "four hundred forty-nine million, two hundred seventy-five thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 47 66 94 99 101 132 141 188 198 202 239 282 303 396 404 423 478 517 564 606 717 846 909 956 1034 1111 1212 1434 1551 1692 1818 2068 2151 2222 2629 2868 3102 3333 3636 4302 4444 4653 4747 5258 6204 6666 7887 8604 9306 9494 9999 10516 11233 13332 14241 15774 18612 18988 19998 22466 23661 24139 28482 31548 33699 39996 42723 44932 47322 48278 52217 56964 67398 72417 85446 94644 96556 101097 104434 123563 134796 144834 156651 170892 202194 208868 217251 247126 265529 289668 313302 370689 404388 434502 469953 494252 531058 626604 741378 796587 869004 939906 1062116 1112067 1134533 1482756 1593174 1879812 2224134 2269066 2389761 3186348 3403599 4448268 4538132 4779522 6807198 9559044 10210797 12479863 13614396 20421594 24959726 37439589 40843188 49919452 74879178 112318767 149758356 224637534 449275068