Search a number
-
+
53518340 = 22529531741
BaseRepresentation
bin1100110000101…
…0000000000100
310201201000100202
43030022000010
5102200041330
65151030032
71216620101
oct314120004
9121630322
1053518340
1128234137
1215b0b318
13b11a975
147171aa8
154a72445
hex330a004

53518340 has 48 divisors (see below), whose sum is σ = 118525680. Its totient is φ = 20267520.

The previous prime is 53518319. The next prime is 53518343. The reversal of 53518340 is 4381535.

It can be written as a sum of positive squares in 8 ways, for example, as 5299204 + 48219136 = 2302^2 + 6944^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (53518343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29870 + ... + 31610.

It is an arithmetic number, because the mean of its divisors is an integer number (2469285).

Almost surely, 253518340 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 53518340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59262840).

53518340 is an abundant number, since it is smaller than the sum of its proper divisors (65007340).

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

53518340 is a wasteful number, since it uses less digits than its factorization.

53518340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 53518340 is about 7315.6230083295. The cubic root of 53518340 is about 376.8491540974.

Adding to 53518340 its reverse (4381535), we get a palindrome (57899875).

The spelling of 53518340 in words is "fifty-three million, five hundred eighteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 53 58 106 116 145 212 265 290 530 580 1060 1537 1741 3074 3482 6148 6964 7685 8705 15370 17410 30740 34820 50489 92273 100978 184546 201956 252445 369092 461365 504890 922730 1009780 1845460 2675917 5351834 10703668 13379585 26759170 53518340