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484053840 = 24335317229
BaseRepresentation
bin11100110110100…
…001001101010000
31020201211111001000
4130312201031100
51442404210330
6120010542000
714665250454
oct3466411520
91221744030
10484053840
112292658a6
12116137900
1379390bba
1448404664
152c768560
hex1cda1350

484053840 has 160 divisors (see below), whose sum is σ = 1721318400. Its totient is φ = 124899840.

The previous prime is 484053839. The next prime is 484053841. The reversal of 484053840 is 48350484.

484053840 is a `hidden beast` number, since 4 + 84 + 0 + 538 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (484053839) and next prime (484053841).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 484053795 and 484053804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484053841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63346 + ... + 70574.

It is an arithmetic number, because the mean of its divisors is an integer number (10758240).

Almost surely, 2484053840 is an apocalyptic number.

484053840 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 484053840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860659200).

484053840 is an abundant number, since it is smaller than the sum of its proper divisors (1237264560).

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

484053840 is a wasteful number, since it uses less digits than its factorization.

484053840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7282 (or 7270 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 484053840 is about 22001.2236023363. The cubic root of 484053840 is about 785.1715529697.

The spelling of 484053840 in words is "four hundred eighty-four million, fifty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 36 40 45 48 54 60 62 72 80 90 93 108 120 124 135 144 155 180 186 216 240 248 270 279 310 360 372 432 465 496 540 558 620 720 744 837 930 1080 1116 1240 1395 1488 1674 1860 2160 2232 2480 2790 3348 3720 4185 4464 5580 6696 7229 7440 8370 11160 13392 14458 16740 21687 22320 28916 33480 36145 43374 57832 65061 66960 72290 86748 108435 115664 130122 144580 173496 195183 216870 224099 260244 289160 325305 346992 390366 433740 448198 520488 578320 650610 672297 780732 867480 896396 975915 1040976 1120495 1301220 1344594 1561464 1734960 1792792 1951830 2016891 2240990 2602440 2689188 3122928 3361485 3585584 3903660 4033782 4481980 5204880 5378376 6050673 6722970 7807320 8067564 8963960 10084455 10756752 12101346 13445940 15614640 16135128 17927920 20168910 24202692 26891880 30253365 32270256 40337820 48405384 53783760 60506730 80675640 96810768 121013460 161351280 242026920 484053840