Search a number
-
+
5023541240 = 235294799041
BaseRepresentation
bin1001010110110110…
…10010011111111000
3110222002200100001222
410223123102133320
540242011304430
62150251531212
7235326252554
oct45333223770
913862610058
105023541240
112148726983
12b82459b08
136209b1b13
1435926c864
151e60569e5
hex12b6d27f8

5023541240 has 64 divisors (see below), whose sum is σ = 11718432000. Its totient is φ = 1935861760.

The previous prime is 5023541231. The next prime is 5023541267. The reversal of 5023541240 is 421453205.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 551120 + ... + 560160.

It is an arithmetic number, because the mean of its divisors is an integer number (183100500).

Almost surely, 25023541240 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 5023541240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5859216000).

5023541240 is an abundant number, since it is smaller than the sum of its proper divisors (6694890760).

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

5023541240 is a wasteful number, since it uses less digits than its factorization.

5023541240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9560 (or 9556 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 5023541240 is about 70876.9443472276. The cubic root of 5023541240 is about 1712.6554094847.

Adding to 5023541240 its reverse (421453205), we get a palindrome (5444994445).

The spelling of 5023541240 in words is "five billion, twenty-three million, five hundred forty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 479 580 958 1160 1916 2395 3832 4790 9041 9580 13891 18082 19160 27782 36164 45205 55564 69455 72328 90410 111128 138910 180820 262189 277820 361640 524378 555640 1048756 1310945 2097512 2621890 4330639 5243780 8661278 10487560 17322556 21653195 34645112 43306390 86612780 125588531 173225560 251177062 502354124 627942655 1004708248 1255885310 2511770620 5023541240