Search a number
-
+
742846480 = 24579117539
BaseRepresentation
bin101100010001101…
…111000000010000
31220202210111210121
4230101233000100
53010132041410
6201413440024
724260043115
oct5421570020
91822714717
10742846480
11351354612
12188940014
13bab9173c
147092c90c
15453379da
hex2c46f010

742846480 has 40 divisors (see below), whose sum is σ = 1748995200. Its totient is φ = 293374848.

The previous prime is 742846451. The next prime is 742846483. The reversal of 742846480 is 84648247.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (742846483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52450 + ... + 65089.

It is an arithmetic number, because the mean of its divisors is an integer number (43724880).

Almost surely, 2742846480 is an apocalyptic number.

It is an amenable number.

742846480 is an abundant number, since it is smaller than the sum of its proper divisors (1006148720).

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

742846480 is a wasteful number, since it uses less digits than its factorization.

742846480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117631 (or 117625 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 43.

The square root of 742846480 is about 27255.2101441174. The cubic root of 742846480 is about 905.6624394033.

The spelling of 742846480 in words is "seven hundred forty-two million, eight hundred forty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 158 316 395 632 790 1264 1580 3160 6320 117539 235078 470156 587695 940312 1175390 1880624 2350780 4701560 9285581 9403120 18571162 37142324 46427905 74284648 92855810 148569296 185711620 371423240 742846480