Search a number
-
+
485305440 = 25353492897
BaseRepresentation
bin11100111011010…
…010110001100000
31020211012001220120
4130323102301200
51443214233230
6120053440240
715012012444
oct3473226140
91224161816
10485305440
11229a40184
12116640080
137970b7a9
144864c824
152c914310
hex1ced2c60

485305440 has 96 divisors (see below), whose sum is σ = 1533621600. Its totient is φ = 128999424.

The previous prime is 485305423. The next prime is 485305441. The reversal of 485305440 is 44503584.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (485305441) 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, 166072 + ... + 168968.

It is an arithmetic number, because the mean of its divisors is an integer number (15975225).

Almost surely, 2485305440 is an apocalyptic number.

485305440 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 485305440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766810800).

485305440 is an abundant number, since it is smaller than the sum of its proper divisors (1048316160).

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

485305440 is a wasteful number, since it uses less digits than its factorization.

485305440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3264 (or 3256 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 485305440 is about 22029.6491120490. The cubic root of 485305440 is about 785.8477001627.

The spelling of 485305440 in words is "four hundred eighty-five million, three hundred five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 349 480 698 1047 1396 1745 2094 2792 2897 3490 4188 5235 5584 5794 6980 8376 8691 10470 11168 11588 13960 14485 16752 17382 20940 23176 27920 28970 33504 34764 41880 43455 46352 55840 57940 69528 83760 86910 92704 115880 139056 167520 173820 231760 278112 347640 463520 695280 1011053 1390560 2022106 3033159 4044212 5055265 6066318 8088424 10110530 12132636 15165795 16176848 20221060 24265272 30331590 32353696 40442120 48530544 60663180 80884240 97061088 121326360 161768480 242652720 485305440