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485005626 = 23272975669
BaseRepresentation
bin11100111010001…
…001100100111010
31020210121211122100
4130322021210322
51443130140001
6120043204230
715006323400
oct3472114472
91223554570
10485005626
112298559a6
12116516676
13796351a1
14485b1470
152c8a5586
hex1ce8993a

485005626 has 72 divisors (see below), whose sum is σ = 1235232180. Its totient is φ = 137120256.

The previous prime is 485005613. The next prime is 485005627. The reversal of 485005626 is 626500584.

485005626 is a `hidden beast` number, since 48 + 50 + 0 + 562 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 472410225 + 12595401 = 21735^2 + 3549^2 .

It is not an unprimeable number, because it can be changed into a prime (485005627) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 82720 + ... + 88388.

Almost surely, 2485005626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 485005626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617616090).

485005626 is an abundant number, since it is smaller than the sum of its proper divisors (750226554).

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

485005626 is a wasteful number, since it uses less digits than its factorization.

485005626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5788 (or 5778 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 485005626 is about 22022.8432769250. The cubic root of 485005626 is about 785.6858387465.

The spelling of 485005626 in words is "four hundred eighty-five million, five thousand, six hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 97 98 126 147 194 291 294 441 582 679 873 882 1358 1746 2037 4074 4753 5669 6111 9506 11338 12222 14259 17007 28518 34014 39683 42777 51021 79366 85554 102042 119049 238098 277781 357147 549893 555562 714294 833343 1099786 1649679 1666686 2500029 3299358 3849251 4949037 5000058 7698502 9898074 11547753 23095506 26944757 34643259 53889514 69286518 80834271 161668542 242502813 485005626