Search a number
-
+
681165248 = 26172332687
BaseRepresentation
bin101000100110011…
…100000111000000
31202110201210001112
4220212130013000
52343334241443
6151331422452
722610544341
oct5046340700
91673653045
10681165248
1131a555595
12170154a28
13ab17647a
14666740c8
153ec01b18
hex2899c1c0

681165248 has 56 divisors (see below), whose sum is σ = 1437875712. Its totient is φ = 319053824.

The previous prime is 681165241. The next prime is 681165293. The reversal of 681165248 is 842561186.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681165241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 252161 + ... + 254847.

It is an arithmetic number, because the mean of its divisors is an integer number (25676352).

Almost surely, 2681165248 is an apocalyptic number.

681165248 is a gapful number since it is divisible by the number (68) 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 681165248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718937856).

681165248 is an abundant number, since it is smaller than the sum of its proper divisors (756710464).

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

681165248 is a wasteful number, since it uses less digits than its factorization.

681165248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2949 (or 2939 counting only the distinct ones).

The product of its digits is 92160, while the sum is 41.

The square root of 681165248 is about 26099.1426679115. The cubic root of 681165248 is about 879.8679416160.

The spelling of 681165248 in words is "six hundred eighty-one million, one hundred sixty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 233 272 466 544 932 1088 1864 2687 3728 3961 5374 7456 7922 10748 14912 15844 21496 31688 42992 45679 63376 85984 91358 126752 171968 182716 253504 365432 626071 730864 1252142 1461728 2504284 2923456 5008568 10017136 10643207 20034272 21286414 40068544 42572828 85145656 170291312 340582624 681165248