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482048920 = 23543476789
BaseRepresentation
bin11100101110110…
…111101110011000
31020121001121210201
4130232313232120
51441401031140
6115455551544
714642230303
oct3456675630
91217047721
10482048920
11228116541
1211552b5b4
1378b3b462
1448041b3a
152c4be49a
hex1cbb7b98

482048920 has 128 divisors (see below), whose sum is σ = 1163289600. Its totient is φ = 179536896.

The previous prime is 482048863. The next prime is 482048929. The reversal of 482048920 is 29840284.

It is a super-2 number, since 2×4820489202 = 464742322546332800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 482048920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482048929) 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, 5416236 + ... + 5416324.

It is an arithmetic number, because the mean of its divisors is an integer number (9088200).

Almost surely, 2482048920 is an apocalyptic number.

482048920 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 482048920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581644800).

482048920 is an abundant number, since it is smaller than the sum of its proper divisors (681240680).

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

482048920 is a wasteful number, since it uses less digits than its factorization.

482048920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 482048920 is about 21955.6124943031. The cubic root of 482048920 is about 784.0860094102.

The spelling of 482048920 in words is "four hundred eighty-two million, forty-eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 47 67 86 89 94 134 172 178 188 215 235 268 335 344 356 376 430 445 470 536 670 712 860 890 940 1340 1720 1780 1880 2021 2680 2881 3149 3560 3827 4042 4183 5762 5963 6298 7654 8084 8366 10105 11524 11926 12596 14405 15308 15745 16168 16732 19135 20210 20915 23048 23852 25192 28810 29815 30616 31490 33464 38270 40420 41830 47704 57620 59630 62980 76540 80840 83660 115240 119260 125960 135407 153080 167320 179869 238520 256409 270814 280261 359738 512818 541628 560522 677035 719476 899345 1025636 1083256 1121044 1282045 1354070 1401305 1438952 1798690 2051272 2242088 2564090 2708140 2802610 3597380 5128180 5416280 5605220 7194760 10256360 11210440 12051223 24102446 48204892 60256115 96409784 120512230 241024460 482048920