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449747640 = 233451271093
BaseRepresentation
bin11010110011101…
…001101010111000
31011100021112210000
4122303221222320
51410113411030
6112343353000
714100535416
oct3263515270
91140245700
10449747640
11210964071
12106752760
137223bb84
1443a342b6
152973d860
hex1ace9ab8

449747640 has 160 divisors (see below), whose sum is σ = 1524948480. Its totient is φ = 118879488.

The previous prime is 449747629. The next prime is 449747657. The reversal of 449747640 is 46747944.

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

It is a congruent number.

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, 410934 + ... + 412026.

It is an arithmetic number, because the mean of its divisors is an integer number (9530928).

Almost surely, 2449747640 is an apocalyptic number.

449747640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449747640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762474240).

449747640 is an abundant number, since it is smaller than the sum of its proper divisors (1075200840).

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

449747640 is a wasteful number, since it uses less digits than its factorization.

449747640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 449747640 is about 21207.2544191840. The cubic root of 449747640 is about 766.1661568307.

The spelling of 449747640 in words is "four hundred forty-nine million, seven hundred forty-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 127 135 162 180 216 254 270 324 360 381 405 508 540 635 648 762 810 1016 1080 1093 1143 1270 1524 1620 1905 2186 2286 2540 3048 3240 3279 3429 3810 4372 4572 5080 5465 5715 6558 6858 7620 8744 9144 9837 10287 10930 11430 13116 13716 15240 16395 17145 19674 20574 21860 22860 26232 27432 29511 32790 34290 39348 41148 43720 45720 49185 51435 59022 65580 68580 78696 82296 88533 98370 102870 118044 131160 137160 138811 147555 177066 196740 205740 236088 277622 295110 354132 393480 411480 416433 442665 555244 590220 694055 708264 832866 885330 1110488 1180440 1249299 1388110 1665732 1770660 2082165 2498598 2776220 3331464 3541320 3747897 4164330 4997196 5552440 6246495 7495794 8328660 9994392 11243691 12492990 14991588 16657320 18739485 22487382 24985980 29983176 37478970 44974764 49971960 56218455 74957940 89949528 112436910 149915880 224873820 449747640