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482753880 = 233257227367
BaseRepresentation
bin11100110001100…
…011110101011000
31020122101102211100
4130301203311120
51442041111010
6115523031400
714651224500
oct3461436530
91218342740
10482753880
11228558154
1211580b560
13790272ab
1448186a00
152c5ad2c0
hex1cc63d58

482753880 has 144 divisors (see below), whose sum is σ = 1825171920. Its totient is φ = 110339712.

The previous prime is 482753857. The next prime is 482753897. The reversal of 482753880 is 88357284.

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 35 ways as a sum of consecutive naturals, for example, 3957 + ... + 31323.

It is an arithmetic number, because the mean of its divisors is an integer number (12674805).

Almost surely, 2482753880 is an apocalyptic number.

482753880 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 482753880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912585960).

482753880 is an abundant number, since it is smaller than the sum of its proper divisors (1342418040).

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

482753880 is a wasteful number, since it uses less digits than its factorization.

482753880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27398 (or 27384 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 482753880 is about 21971.6608384528. The cubic root of 482753880 is about 784.4680453528.

The spelling of 482753880 in words is "four hundred eighty-two million, seven hundred fifty-three thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 315 360 392 420 441 490 504 588 630 735 840 882 980 1176 1260 1470 1764 1960 2205 2520 2940 3528 4410 5880 8820 17640 27367 54734 82101 109468 136835 164202 191569 218936 246303 273670 328404 383138 410505 492606 547340 574707 656808 766276 821010 957845 985212 1094680 1149414 1231515 1340983 1532552 1642020 1724121 1915690 1970424 2298828 2463030 2681966 2873535 3284040 3448242 3831380 4022949 4597656 4926060 5363932 5747070 6704915 6896484 7662760 8045898 8620605 9852120 10727864 11494140 12068847 13409830 13792968 16091796 17241210 20114745 22988280 24137694 26819660 32183592 34482420 40229490 48275388 53639320 60344235 68964840 80458980 96550776 120688470 160917960 241376940 482753880