Search a number
-
+
53465048 = 237132712
BaseRepresentation
bin1100101111110…
…0111111011000
310201121022020222
43023330333120
5102141340143
65145535212
71216305530
oct313747730
9121538228
1053465048
11281a809a
1215aa4508
13b0cc630
14715a4c0
154a61768
hex32fcfd8

53465048 has 48 divisors (see below), whose sum is σ = 123837840. Its totient is φ = 21072960.

The previous prime is 53465021. The next prime is 53465063. The reversal of 53465048 is 84056435.

It is a super-2 number, since 2×534650482 = 5717022715284608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 53464999 and 53465017.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 197153 + ... + 197423.

It is an arithmetic number, because the mean of its divisors is an integer number (2579955).

Almost surely, 253465048 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 53465048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61918920).

53465048 is an abundant number, since it is smaller than the sum of its proper divisors (70372792).

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

53465048 is a wasteful number, since it uses less digits than its factorization.

53465048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The square root of 53465048 is about 7311.9797592718. The cubic root of 53465048 is about 376.7240274283.

The spelling of 53465048 in words is "fifty-three million, four hundred sixty-five thousand, forty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 271 364 542 728 1084 1897 2168 3523 3794 7046 7588 14092 15176 24661 28184 49322 73441 98644 146882 197288 293764 514087 587528 954733 1028174 1909466 2056348 3818932 4112696 6683131 7637864 13366262 26732524 53465048