Search a number
-
+
671956896 = 253135310159
BaseRepresentation
bin101000000011010…
…011111110100000
31201211101221120110
4220003103332200
52334010110041
6150402211320
722436353002
oct5003237640
91654357513
10671956896
11315336186
12169053b40
13a92a1040
1465358372
153ded3516
hex280d3fa0

671956896 has 96 divisors (see below), whose sum is σ = 1935601920. Its totient is φ = 202834944.

The previous prime is 671956867. The next prime is 671956921. The reversal of 671956896 is 698659176.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61065 + ... + 71223.

It is an arithmetic number, because the mean of its divisors is an integer number (20162520).

Almost surely, 2671956896 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 671956896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967800960).

671956896 is an abundant number, since it is smaller than the sum of its proper divisors (1263645024).

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

671956896 is a wasteful number, since it uses less digits than its factorization.

671956896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10238 (or 10230 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 57.

The square root of 671956896 is about 25922.1313938495. The cubic root of 671956896 is about 875.8850999191.

The spelling of 671956896 in words is "six hundred seventy-one million, nine hundred fifty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 53 78 96 104 106 156 159 208 212 312 318 416 424 624 636 689 848 1248 1272 1378 1696 2067 2544 2756 4134 5088 5512 8268 10159 11024 16536 20318 22048 30477 33072 40636 60954 66144 81272 121908 132067 162544 243816 264134 325088 396201 487632 528268 538427 792402 975264 1056536 1076854 1584804 1615281 2113072 2153708 3169608 3230562 4226144 4307416 6339216 6461124 6999551 8614832 12678432 12922248 13999102 17229664 20998653 25844496 27998204 41997306 51688992 55996408 83994612 111992816 167989224 223985632 335978448 671956896