Search a number
-
+
1682752316 = 227217349627
BaseRepresentation
bin110010001001100…
…1100001100111100
311100021101200012212
41210103030030330
511421241033231
6434551115552
756462105300
oct14423141474
94307350185
101682752316
117939627a3
123ab672bb8
1320a81ab3b
1411d6b5d00
159cae842b
hex644cc33c

1682752316 has 36 divisors (see below), whose sum is σ = 3445473528. Its totient is φ = 716996448.

The previous prime is 1682752307. The next prime is 1682752319. The reversal of 1682752316 is 6132572861.

It is a super-3 number, since 3×16827523163 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1682752319) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9095 + ... + 58721.

It is an arithmetic number, because the mean of its divisors is an integer number (95707598).

Almost surely, 21682752316 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 1682752316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722736764).

1682752316 is an abundant number, since it is smaller than the sum of its proper divisors (1762721212).

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

1682752316 is a wasteful number, since it uses less digits than its factorization.

1682752316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49818 (or 49809 counting only the distinct ones).

The product of its digits is 120960, while the sum is 41.

The square root of 1682752316 is about 41021.3641411399. The cubic root of 1682752316 is about 1189.4332249080.

The spelling of 1682752316 in words is "one billion, six hundred eighty-two million, seven hundred fifty-two thousand, three hundred sixteen".

Divisors: 1 2 4 7 14 28 49 98 173 196 346 692 1211 2422 4844 8477 16954 33908 49627 99254 198508 347389 694778 1389556 2431723 4863446 8585471 9726892 17170942 34341884 60098297 120196594 240393188 420688079 841376158 1682752316