Search a number
-
+
8023208436 = 2234139178151
BaseRepresentation
bin1110111100011100…
…00111000111110100
3202201011002012220000
413132032013013310
5112412420132221
63404045111300
7402552101145
oct73616070764
922634065800
108023208436
11344798a281
12167ab58530
139ab2aaa19
145617c9acc
1531e581e26
hex1de3871f4

8023208436 has 60 divisors (see below), whose sum is σ = 21125264160. Its totient is φ = 2655147600.

The previous prime is 8023208359. The next prime is 8023208467. The reversal of 8023208436 is 6348023208.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 8023208436.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 44040 + ... + 134111.

It is an arithmetic number, because the mean of its divisors is an integer number (352087736).

Almost surely, 28023208436 is an apocalyptic number.

It is an amenable number.

8023208436 is an abundant number, since it is smaller than the sum of its proper divisors (13102055724).

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

8023208436 is a wasteful number, since it uses less digits than its factorization.

8023208436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178306 (or 178295 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 8023208436 is about 89572.3642425497. The cubic root of 8023208436 is about 2001.9321690935.

The spelling of 8023208436 in words is "eight billion, twenty-three million, two hundred eight thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 139 162 278 324 417 556 834 1251 1668 2502 3753 5004 7506 11259 15012 22518 45036 178151 356302 534453 712604 1068906 1603359 2137812 3206718 4810077 6413436 9620154 14430231 19240308 24762989 28860462 49525978 57720924 74288967 99051956 148577934 222866901 297155868 445733802 668600703 891467604 1337201406 2005802109 2674402812 4011604218 8023208436