Search a number
-
+
8005324480 = 265171471567
BaseRepresentation
bin1110111010010011…
…11000111011000000
3202122220102121201021
413131021320323000
5112343330340410
63402205515224
7402244064266
oct73511707300
922586377637
108005324480
11343888484a
121674b72b14
139a76887ba
1455d292436
1531cbeceda
hex1dd278ec0

8005324480 has 56 divisors (see below), whose sum is σ = 20184026688. Its totient is φ = 3013767168.

The previous prime is 8005324471. The next prime is 8005324489. The reversal of 8005324480 is 844235008.

It is an interprime number because it is at equal distance from previous prime (8005324471) and next prime (8005324489).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (8005324489) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 730344 + ... + 741223.

It is an arithmetic number, because the mean of its divisors is an integer number (360429048).

Almost surely, 28005324480 is an apocalyptic number.

8005324480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8005324480 is an abundant number, since it is smaller than the sum of its proper divisors (12178702208).

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

8005324480 is a wasteful number, since it uses less digits than its factorization.

8005324480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471601 (or 1471591 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 8005324480 is about 89472.4788971447. The cubic root of 8005324480 is about 2000.4436082652.

Adding to 8005324480 its reverse (844235008), we get a palindrome (8849559488).

The spelling of 8005324480 in words is "eight billion, five million, three hundred twenty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1088 1360 2720 5440 1471567 2943134 5886268 7357835 11772536 14715670 23545072 25016639 29431340 47090144 50033278 58862680 94180288 100066556 117725360 125083195 200133112 235450720 250166390 400266224 470901440 500332780 800532448 1000665560 1601064896 2001331120 4002662240 8005324480