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449821494 = 232295371229
BaseRepresentation
bin11010110011111…
…011101100110110
31011100102022002100
4122303323230312
51410123241434
6112345122530
714101263633
oct3263735466
91140368070
10449821494
11210a04601
12106789446
1372266685
1443a5318a
1529755699
hex1acfbb36

449821494 has 96 divisors (see below), whose sum is σ = 1046260800. Its totient is φ = 139426560.

The previous prime is 449821481. The next prime is 449821517. The reversal of 449821494 is 494128944.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1964172 + ... + 1964400.

It is an arithmetic number, because the mean of its divisors is an integer number (10898550).

Almost surely, 2449821494 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449821494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523130400).

449821494 is an abundant number, since it is smaller than the sum of its proper divisors (596439306).

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

449821494 is a wasteful number, since it uses less digits than its factorization.

449821494 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 387 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 449821494 is about 21208.9955914937. The cubic root of 449821494 is about 766.2080924506.

The spelling of 449821494 in words is "four hundred forty-nine million, eight hundred twenty-one thousand, four hundred ninety-four".

Divisors: 1 2 3 6 9 18 29 53 58 71 87 106 142 159 174 213 229 261 318 426 458 477 522 639 687 954 1278 1374 1537 2059 2061 3074 3763 4118 4122 4611 6177 6641 7526 9222 11289 12137 12354 13282 13833 16259 18531 19923 22578 24274 27666 32518 33867 36411 37062 39846 48777 59769 67734 72822 97554 109127 109233 119538 146331 218254 218466 292662 327381 351973 471511 654762 703946 861727 943022 982143 1055919 1414533 1723454 1964286 2111838 2585181 2829066 3167757 4243599 5170362 6335514 7755543 8487198 15511086 24990083 49980166 74970249 149940498 224910747 449821494