Search a number
-
+
8028117500 = 2254131913001
BaseRepresentation
bin1110111101000001…
…10101100111111100
3202201111022121212012
413132200311213330
5112420144230000
63404342230352
7402641605244
oct73640654774
922644277765
108028117500
11344a732557
1216807253b8
139ac3092b0
14562306b24
1531ec01735
hex1de8359fc

8028117500 has 120 divisors (see below), whose sum is σ = 19902941520. Its totient is φ = 2808000000.

The previous prime is 8028117479. The next prime is 8028117509. The reversal of 8028117500 is 57118208.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8028117509) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 611000 + ... + 624000.

It is an arithmetic number, because the mean of its divisors is an integer number (165857846).

Almost surely, 28028117500 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 8028117500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9951470760).

8028117500 is an abundant number, since it is smaller than the sum of its proper divisors (11874824020).

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

8028117500 is a wasteful number, since it uses less digits than its factorization.

8028117500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13057 (or 13040 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 32.

The square root of 8028117500 is about 89599.7628345075. The cubic root of 8028117500 is about 2002.3403852302.

The spelling of 8028117500 in words is "eight billion, twenty-eight million, one hundred seventeen thousand, five hundred".

Divisors: 1 2 4 5 10 13 19 20 25 26 38 50 52 65 76 95 100 125 130 190 247 250 260 325 380 475 494 500 625 650 950 988 1235 1250 1300 1625 1900 2375 2470 2500 3250 4750 4940 6175 6500 8125 9500 11875 12350 13001 16250 23750 24700 26002 30875 32500 47500 52004 61750 65005 123500 130010 154375 169013 247019 260020 308750 325025 338026 494038 617500 650050 676052 845065 988076 1235095 1300100 1625125 1690130 2470190 3211247 3250250 3380260 4225325 4940380 6175475 6422494 6500500 8125625 8450650 12350950 12844988 16056235 16251250 16901300 21126625 24701900 30877375 32112470 32502500 42253250 61754750 64224940 80281175 84506500 105633125 123509500 154386875 160562350 211266250 308773750 321124700 401405875 422532500 617547500 802811750 1605623500 2007029375 4014058750 8028117500