Search a number
-
+
449452980 = 22325191131163
BaseRepresentation
bin11010110010100…
…001101110110100
31011022201120120200
4122302201232310
51410024443410
6112333200500
714065200354
oct3262415664
91138646520
10449452980
11210782749
12106630130
1372167a12
1443998b64
15296d13c0
hex1aca1bb4

449452980 has 144 divisors (see below), whose sum is σ = 1449040320. Its totient is φ = 112444416.

The previous prime is 449452979. The next prime is 449452981. The reversal of 449452980 is 89254944.

449452980 is a `hidden beast` number, since 4 + 49 + 4 + 529 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (449452979) and next prime (449452981).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449452981) 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, 385879 + ... + 387041.

It is an arithmetic number, because the mean of its divisors is an integer number (10062780).

Almost surely, 2449452980 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 449452980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724520160).

449452980 is an abundant number, since it is smaller than the sum of its proper divisors (999587340).

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

449452980 is a wasteful number, since it uses less digits than its factorization.

449452980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 449452980 is about 21200.3061298652. The cubic root of 449452980 is about 765.9987979084.

The spelling of 449452980 in words is "four hundred forty-nine million, four hundred fifty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 113 114 171 180 190 226 228 285 339 342 380 452 565 570 678 684 855 1017 1130 1140 1163 1356 1695 1710 2034 2147 2260 2326 3390 3420 3489 4068 4294 4652 5085 5815 6441 6780 6978 8588 10170 10467 10735 11630 12882 13956 17445 19323 20340 20934 21470 22097 23260 25764 32205 34890 38646 41868 42940 44194 52335 64410 66291 69780 77292 88388 96615 104670 110485 128820 131419 132582 193230 198873 209340 220970 262838 265164 331455 386460 394257 397746 441940 525676 657095 662910 788514 795492 994365 1182771 1314190 1325820 1577028 1971285 1988730 2365542 2496961 2628380 3942570 3977460 4731084 4993922 5913855 7490883 7885140 9987844 11827710 12484805 14981766 22472649 23655420 24969610 29963532 37454415 44945298 49939220 74908830 89890596 112363245 149817660 224726490 449452980