Search a number
-
+
61315744 = 257299439
BaseRepresentation
bin1110100111100…
…1101010100000
311021101011101111
43221321222200
5111144100434
610030113104
71343114050
oct351715240
9137334344
1061315744
113167a476
121864b794
13c91ab09
148201560
1555b2964
hex3a79aa0

61315744 has 48 divisors (see below), whose sum is σ = 142732800. Its totient is φ = 25369344.

The previous prime is 61315739. The next prime is 61315759. The reversal of 61315744 is 44751316.

61315744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1777 + ... + 11215.

It is an arithmetic number, because the mean of its divisors is an integer number (2973600).

Almost surely, 261315744 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 61315744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71366400).

61315744 is an abundant number, since it is smaller than the sum of its proper divisors (81417056).

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

61315744 is a wasteful number, since it uses less digits than its factorization.

61315744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9485 (or 9477 counting only the distinct ones).

The product of its digits is 10080, while the sum is 31.

The square root of 61315744 is about 7830.4370248410. The cubic root of 61315744 is about 394.3277439918.

The spelling of 61315744 in words is "sixty-one million, three hundred fifteen thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 406 464 812 928 1624 3248 6496 9439 18878 37756 66073 75512 132146 151024 264292 273731 302048 528584 547462 1057168 1094924 1916117 2114336 2189848 3832234 4379696 7664468 8759392 15328936 30657872 61315744