Search a number
-
+
54340050 = 2352379791
BaseRepresentation
bin1100111101001…
…0100111010010
310210020202112110
43033102213102
5102402340200
65220410150
71226611542
oct317224722
9123222473
1054340050
1128745536
1216246956
13b34799b
147307322
154b85b50
hex33d29d2

54340050 has 48 divisors (see below), whose sum is σ = 138419712. Its totient is φ = 14097600.

The previous prime is 54340031. The next prime is 54340067. The reversal of 54340050 is 5004345.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 54339999 and 54340026.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 655 + ... + 10445.

It is an arithmetic number, because the mean of its divisors is an integer number (2883744).

Almost surely, 254340050 is an apocalyptic number.

54340050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 54340050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69209856).

54340050 is an abundant number, since it is smaller than the sum of its proper divisors (84079662).

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

54340050 is a wasteful number, since it uses less digits than its factorization.

54340050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9843 (or 9838 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 54340050 is about 7371.5703890012. The cubic root of 54340050 is about 378.7680556479.

Adding to 54340050 its reverse (5004345), we get a palindrome (59344395).

The spelling of 54340050 in words is "fifty-four million, three hundred forty thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 37 50 74 75 111 150 185 222 370 555 925 1110 1850 2775 5550 9791 19582 29373 48955 58746 97910 146865 244775 293730 362267 489550 724534 734325 1086801 1468650 1811335 2173602 3622670 5434005 9056675 10868010 18113350 27170025 54340050