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483978032 = 241719711319
BaseRepresentation
bin11100110110001…
…110101100110000
31020201200122001022
4130312032230300
51442344244112
6120005155012
714664513446
oct3466165460
91221618038
10483978032
1122921394a
121160bba68
1379365545
14483c4b96
152c750d72
hex1cd8eb30

483978032 has 80 divisors (see below), whose sum is σ = 1060646400. Its totient is φ = 212567040.

The previous prime is 483978023. The next prime is 483978097. The reversal of 483978032 is 230879384.

It is a super-3 number, since 3×4839780323 (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 366269 + ... + 367587.

It is an arithmetic number, because the mean of its divisors is an integer number (13258080).

Almost surely, 2483978032 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 483978032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530323200).

483978032 is an abundant number, since it is smaller than the sum of its proper divisors (576668368).

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

483978032 is a wasteful number, since it uses less digits than its factorization.

483978032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The square root of 483978032 is about 21999.5007216073. The cubic root of 483978032 is about 785.1305620801.

The spelling of 483978032 in words is "four hundred eighty-three million, nine hundred seventy-eight thousand, thirty-two".

Divisors: 1 2 4 8 16 17 19 34 38 68 71 76 136 142 152 272 284 304 323 568 646 1136 1207 1292 1319 1349 2414 2584 2638 2698 4828 5168 5276 5396 9656 10552 10792 19312 21104 21584 22423 22933 25061 44846 45866 50122 89692 91732 93649 100244 179384 183464 187298 200488 358768 366928 374596 400976 426037 749192 852074 1498384 1592033 1704148 1779331 3184066 3408296 3558662 6368132 6816592 7117324 12736264 14234648 25472528 28469296 30248627 60497254 120994508 241989016 483978032