Search a number
-
+
485005536 = 25331912939
BaseRepresentation
bin11100111010001…
…001100011100000
31020210121211112000
4130322021203200
51443130134121
6120043204000
715006323211
oct3472114340
91223554460
10485005536
11229855924
12116516600
1379635132
14485b1408
152c8a5526
hex1ce898e0

485005536 has 96 divisors (see below), whose sum is σ = 1422489600. Its totient is φ = 160767360.

The previous prime is 485005519. The next prime is 485005553. The reversal of 485005536 is 635500584.

It is an interprime number because it is at equal distance from previous prime (485005519) and next prime (485005553).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 485005536.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163555 + ... + 166493.

It is an arithmetic number, because the mean of its divisors is an integer number (14817600).

Almost surely, 2485005536 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 485005536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711244800).

485005536 is an abundant number, since it is smaller than the sum of its proper divisors (937484064).

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

485005536 is a wasteful number, since it uses less digits than its factorization.

485005536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3149 (or 3135 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 485005536 is about 22022.8412335920. The cubic root of 485005536 is about 785.6857901480.

The spelling of 485005536 in words is "four hundred eighty-five million, five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 191 216 288 382 432 573 764 864 1146 1528 1719 2292 2939 3056 3438 4584 5157 5878 6112 6876 8817 9168 10314 11756 13752 17634 18336 20628 23512 26451 27504 35268 41256 47024 52902 55008 70536 79353 82512 94048 105804 141072 158706 165024 211608 282144 317412 423216 561349 634824 846432 1122698 1269648 1684047 2245396 2539296 3368094 4490792 5052141 6736188 8981584 10104282 13472376 15156423 17963168 20208564 26944752 30312846 40417128 53889504 60625692 80834256 121251384 161668512 242502768 485005536