Search a number
-
+
8028582340 = 2257325721397
BaseRepresentation
bin1110111101000101…
…00111000111000100
3202201112012020111111
413132202213013010
5112420304113330
63404400214404
7402645552412
oct73642470704
922645166444
108028582340
11344aa1a819
12168090a404
139ac43ca4c
145623c82b2
1531ec9432a
hex1de8a71c4

8028582340 has 48 divisors (see below), whose sum is σ = 17158285872. Its totient is φ = 3154968576.

The previous prime is 8028582293. The next prime is 8028582361. The reversal of 8028582340 is 432858208.

It can be written as a sum of positive squares in 8 ways, for example, as 2743873924 + 5284708416 = 52382^2 + 72696^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8028582293 and 8028582302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 364522 + ... + 385918.

It is an arithmetic number, because the mean of its divisors is an integer number (357464289).

Almost surely, 28028582340 is an apocalyptic number.

It is an amenable number.

8028582340 is an abundant number, since it is smaller than the sum of its proper divisors (9129703532).

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

8028582340 is a wasteful number, since it uses less digits than its factorization.

8028582340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21736 (or 21734 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The square root of 8028582340 is about 89602.3567770402. The cubic root of 8028582340 is about 2002.3790306512.

The spelling of 8028582340 in words is "eight billion, twenty-eight million, five hundred eighty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 73 146 257 292 365 514 730 1028 1285 1460 2570 5140 18761 21397 37522 42794 75044 85588 93805 106985 187610 213970 375220 427940 1561981 3123962 5499029 6247924 7809905 10998058 15619810 21996116 27495145 31239620 54990290 109980580 401429117 802858234 1605716468 2007145585 4014291170 8028582340