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449825940 = 223356712433
BaseRepresentation
bin11010110011111…
…100110010010100
31011100102112012000
4122303330302110
51410123412230
6112345155300
714101312614
oct3263746224
91140375160
10449825940
11210a07983
1210678bb30
13722686c5
1443a54a44
1529756b60
hex1acfcc94

449825940 has 96 divisors (see below), whose sum is σ = 1420460160. Its totient is φ = 118153728.

The previous prime is 449825891. The next prime is 449825941. The reversal of 449825940 is 49528944.

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 (449825941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29964 + ... + 42396.

It is an arithmetic number, because the mean of its divisors is an integer number (14796460).

Almost surely, 2449825940 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 449825940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710230080).

449825940 is an abundant number, since it is smaller than the sum of its proper divisors (970634220).

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

449825940 is a wasteful number, since it uses less digits than its factorization.

449825940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12518 (or 12510 counting only the distinct ones).

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

The square root of 449825940 is about 21209.1004052506. The cubic root of 449825940 is about 766.2106168224.

The spelling of 449825940 in words is "four hundred forty-nine million, eight hundred twenty-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 67 90 108 134 135 180 201 268 270 335 402 540 603 670 804 1005 1206 1340 1809 2010 2412 3015 3618 4020 6030 7236 9045 12060 12433 18090 24866 36180 37299 49732 62165 74598 111897 124330 149196 186495 223794 248660 335691 372990 447588 559485 671382 745980 833011 1118970 1342764 1666022 1678455 2237940 2499033 3332044 3356910 4165055 4998066 6713820 7497099 8330110 9996132 12495165 14994198 16660220 22491297 24990330 29988396 37485495 44982594 49980660 74970990 89965188 112456485 149941980 224912970 449825940