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485222584 = 237112101709
BaseRepresentation
bin11100111010111…
…110100010111000
31020211000212020211
4130322332202320
51443204110314
6120052000504
715011216050
oct3472764270
91224025224
10485222584
11229993a00
12116600134
13796acb72
144862a560
152c8e99c4
hex1cebe8b8

485222584 has 96 divisors (see below), whose sum is σ = 1155823200. Its totient is φ = 186912000.

The previous prime is 485222561. The next prime is 485222587.

485222584 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (485222587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 684022 + ... + 684730.

It is an arithmetic number, because the mean of its divisors is an integer number (12039825).

Almost surely, 2485222584 is an apocalyptic number.

485222584 is a gapful number since it is divisible by the number (44) 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 485222584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577911600).

485222584 is an abundant number, since it is smaller than the sum of its proper divisors (670600616).

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

485222584 is a wasteful number, since it uses less digits than its factorization.

485222584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 830 counting only the distinct ones).

The product of its digits is 204800, while the sum is 40.

The square root of 485222584 is about 22027.7684752678. The cubic root of 485222584 is about 785.8029751314.

The spelling of 485222584 in words is "four hundred eighty-five million, two hundred twenty-two thousand, five hundred eighty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 101 121 154 202 242 308 404 484 616 707 709 808 847 968 1111 1414 1418 1694 2222 2828 2836 3388 4444 4963 5656 5672 6776 7777 7799 8888 9926 12221 15554 15598 19852 24442 31108 31196 39704 48884 54593 62216 62392 71609 85547 85789 97768 109186 143218 171094 171578 218372 286436 342188 343156 436744 501263 572872 600523 684376 686312 787699 1002526 1201046 1575398 2005052 2402092 3150796 4010104 4804184 5513893 6301592 8664689 11027786 17329378 22055572 34658756 44111144 60652823 69317512 121305646 242611292 485222584