Search a number
-
+
485333760 = 2835211599
BaseRepresentation
bin11100111011011…
…001101100000000
31020211020111202110
4130323121230000
51443221140020
6120054215320
715012161142
oct3473315400
91224214673
10485333760
11229a5a48a
12116654540
137971b652
1448658c92
152c91c8e0
hex1ced9b00

485333760 has 144 divisors (see below), whose sum is σ = 1559980800. Its totient is φ = 128593920.

The previous prime is 485333749. The next prime is 485333767. The reversal of 485333760 is 67333584.

It is not an unprimeable number, because it can be changed into a prime (485333767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 809941 + ... + 810539.

It is an arithmetic number, because the mean of its divisors is an integer number (10833200).

Almost surely, 2485333760 is an apocalyptic number.

485333760 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 485333760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779990400).

485333760 is an abundant number, since it is smaller than the sum of its proper divisors (1074647040).

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

485333760 is a wasteful number, since it uses less digits than its factorization.

485333760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The square root of 485333760 is about 22030.2918727828. The cubic root of 485333760 is about 785.8629859135.

The spelling of 485333760 in words is "four hundred eighty-five million, three hundred thirty-three thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 211 240 256 320 384 422 480 599 633 640 768 844 960 1055 1198 1266 1280 1688 1797 1920 2110 2396 2532 2995 3165 3376 3594 3840 4220 4792 5064 5990 6330 6752 7188 8440 8985 9584 10128 11980 12660 13504 14376 16880 17970 19168 20256 23960 25320 27008 28752 33760 35940 38336 40512 47920 50640 54016 57504 67520 71880 76672 81024 95840 101280 115008 126389 135040 143760 153344 162048 191680 202560 230016 252778 270080 287520 379167 383360 405120 460032 505556 575040 631945 758334 766720 810240 1011112 1150080 1263890 1516668 1895835 2022224 2300160 2527780 3033336 3791670 4044448 5055560 6066672 7583340 8088896 10111120 12133344 15166680 16177792 20222240 24266688 30333360 32355584 40444480 48533376 60666720 80888960 97066752 121333440 161777920 242666880 485333760