Search a number
-
+
8232681856 = 27719734657
BaseRepresentation
bin1111010101011010…
…01100000110000000
3210020202020120101211
413222231030012000
5113330031304411
63440530535504
7411004432630
oct75255140600
923222216354
108232681856
113545152803
121719137594
13a12800ca9
145815566c0
15332b5d221
hex1eab4c180

8232681856 has 64 divisors (see below), whose sum is σ = 18757579680. Its totient is φ = 3525746688.

The previous prime is 8232681833. The next prime is 8232681857. The reversal of 8232681856 is 6581862328.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×82326818562 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8232681857) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1765480 + ... + 1770136.

Almost surely, 28232681856 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 8232681856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9378789840).

8232681856 is an abundant number, since it is smaller than the sum of its proper divisors (10524897824).

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

8232681856 is a wasteful number, since it uses less digits than its factorization.

8232681856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6651 (or 6639 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 49.

The square root of 8232681856 is about 90734.1272950812. The cubic root of 8232681856 is about 2019.2051455603.

The spelling of 8232681856 in words is "eight billion, two hundred thirty-two million, six hundred eighty-one thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 1973 3946 4657 7892 9314 13811 15784 18628 27622 31568 32599 37256 55244 63136 65198 74512 110488 126272 130396 149024 220976 252544 260792 298048 441952 521584 596096 883904 1043168 1767808 2086336 4172672 9188261 18376522 36753044 64317827 73506088 128635654 147012176 257271308 294024352 514542616 588048704 1029085232 1176097408 2058170464 4116340928 8232681856