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482831440 = 245713292287
BaseRepresentation
bin11100110001110…
…110110001010000
31020122112101012221
4130301312301100
51442101101230
6115524430424
714651666560
oct3461666120
91218471187
10482831440
11228600453
12115848414
13790536a0
14481a6da0
152c5c627a
hex1cc76c50

482831440 has 160 divisors (see below), whose sum is σ = 1429908480. Its totient is φ = 147474432.

The previous prime is 482831407. The next prime is 482831441. The reversal of 482831440 is 44138284.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 482831396 and 482831405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482831441) 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, 209977 + ... + 212263.

It is an arithmetic number, because the mean of its divisors is an integer number (8936928).

Almost surely, 2482831440 is an apocalyptic number.

482831440 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 482831440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714954240).

482831440 is an abundant number, since it is smaller than the sum of its proper divisors (947077040).

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

482831440 is a wasteful number, since it uses less digits than its factorization.

482831440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2349 (or 2343 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 482831440 is about 21973.4257684140. The cubic root of 482831440 is about 784.5100543944.

The spelling of 482831440 in words is "four hundred eighty-two million, eight hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 29 35 40 52 56 58 65 70 80 91 104 112 116 130 140 145 182 203 208 232 260 280 290 364 377 406 455 464 520 560 580 728 754 812 910 1015 1040 1160 1456 1508 1624 1820 1885 2030 2287 2320 2639 3016 3248 3640 3770 4060 4574 5278 6032 7280 7540 8120 9148 10556 11435 13195 15080 16009 16240 18296 21112 22870 26390 29731 30160 32018 36592 42224 45740 52780 59462 64036 66323 80045 91480 105560 118924 128072 132646 148655 160090 182960 208117 211120 237848 256144 265292 297310 320180 331615 416234 464261 475696 530584 594620 640360 663230 832468 862199 928522 1040585 1061168 1189240 1280720 1326460 1664936 1724398 1857044 2081170 2321305 2378480 2652920 3329872 3448796 3714088 4162340 4310995 4642610 5305840 6035393 6897592 7428176 8324680 8621990 9285220 12070786 13795184 16649360 17243980 18570440 24141572 30176965 34487960 37140880 48283144 60353930 68975920 96566288 120707860 241415720 482831440