Search a number
-
+
5731427000 = 2353134310253
BaseRepresentation
bin1010101011001111…
…01010001010111000
3112210102200122210002
411111213222022320
543214221131000
62344420212132
7262013216465
oct52547521270
915712618702
105731427000
112481271a32
12113b53a048
13704552630
143c529a66c
152382858d5
hex1559ea2b8

5731427000 has 128 divisors (see below), whose sum is σ = 14780525760. Its totient is φ = 2066803200.

The previous prime is 5731426999. The next prime is 5731427003. The reversal of 5731427000 is 7241375.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5731427003) 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 31 ways as a sum of consecutive naturals, for example, 553874 + ... + 564126.

Almost surely, 25731427000 is an apocalyptic number.

5731427000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5731427000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7390262880).

5731427000 is an abundant number, since it is smaller than the sum of its proper divisors (9049098760).

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

5731427000 is a wasteful number, since it uses less digits than its factorization.

5731427000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10330 (or 10316 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 29.

The square root of 5731427000 is about 75706.1886505984. The cubic root of 5731427000 is about 1789.5929288746.

Adding to 5731427000 its reverse (7241375), we get a palindrome (5738668375).

The spelling of 5731427000 in words is "five billion, seven hundred thirty-one million, four hundred twenty-seven thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 43 50 52 65 86 100 104 125 130 172 200 215 250 260 325 344 430 500 520 559 650 860 1000 1075 1118 1300 1625 1720 2150 2236 2600 2795 3250 4300 4472 5375 5590 6500 8600 10253 10750 11180 13000 13975 20506 21500 22360 27950 41012 43000 51265 55900 69875 82024 102530 111800 133289 139750 205060 256325 266578 279500 410120 440879 512650 533156 559000 666445 881758 1025300 1066312 1281625 1332890 1763516 2050600 2204395 2563250 2665780 3332225 3527032 4408790 5126500 5331560 5731427 6664450 8817580 10253000 11021975 11462854 13328900 16661125 17635160 22043950 22925708 26657800 28657135 33322250 44087900 45851416 55109875 57314270 66644500 88175800 110219750 114628540 133289000 143285675 220439500 229257080 286571350 440879000 573142700 716428375 1146285400 1432856750 2865713500 5731427000