Search a number
-
+
5729249736 = 2332731391669
BaseRepresentation
bin1010101010111110…
…10110100111001000
3112210021121001010200
411111133112213020
543213141442421
62344301412200
7261655551000
oct52537264710
915707531120
105729249736
112480015141
12113a86a060
13703c6c602
143c4c91000
15237ea5726
hex1557d69c8

5729249736 has 192 divisors, whose sum is σ = 18236400000. Its totient is φ = 1624178304.

The previous prime is 5729249723. The next prime is 5729249741. The reversal of 5729249736 is 6379429275.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3431910 + ... + 3433578.

It is an arithmetic number, because the mean of its divisors is an integer number (94981250).

Almost surely, 25729249736 is an apocalyptic number.

5729249736 is a gapful number since it is divisible by the number (56) 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 5729249736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9118200000).

5729249736 is an abundant number, since it is smaller than the sum of its proper divisors (12507150264).

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

5729249736 is a wasteful number, since it uses less digits than its factorization.

5729249736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1841 (or 1820 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The square root of 5729249736 is about 75691.8075884042. The cubic root of 5729249736 is about 1789.3662889962.

It can be divided in two parts, 572924 and 9736, that added together give a triangular number (582660 = T1079).

The spelling of 5729249736 in words is "five billion, seven hundred twenty-nine million, two hundred forty-nine thousand, seven hundred thirty-six".