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682248126 = 23723230707
BaseRepresentation
bin101000101010100…
…100011110111110
31202112202210111010
4220222210132332
52344123420001
6151410540050
722623004410
oct5052443676
91675683433
10682248126
1132012512a
12170597626
13ab465321
14668769b0
153ed678d6
hex28aa47be

682248126 has 48 divisors (see below), whose sum is σ = 1630226304. Its totient is φ = 186446832.

The previous prime is 682248107. The next prime is 682248169. The reversal of 682248126 is 621842286.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6865 + ... + 37571.

It is an arithmetic number, because the mean of its divisors is an integer number (33963048).

Almost surely, 2682248126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 682248126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815113152).

682248126 is an abundant number, since it is smaller than the sum of its proper divisors (947978178).

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

682248126 is a wasteful number, since it uses less digits than its factorization.

682248126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30765 (or 30742 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 682248126 is about 26119.8799001833. The cubic root of 682248126 is about 880.3339495282. Note that the first 3 decimals are identical.

The spelling of 682248126 in words is "six hundred eighty-two million, two hundred forty-eight thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 322 483 529 966 1058 1587 3174 3703 7406 11109 22218 30707 61414 92121 184242 214949 429898 644847 706261 1289694 1412522 2118783 4237566 4943827 9887654 14831481 16244003 29662962 32488006 48732009 97464018 113708021 227416042 341124063 682248126