Search a number
-
+
53311552 = 267127937
BaseRepresentation
bin1100101101011…
…1100001000000
310201022111200221
43023113201000
5102121432202
65142352424
71215066160
oct313274100
9121274627
1053311552
1128102838
1215a2b714
13b0777c8
14711a5a0
154a31037
hex32d7840

53311552 has 56 divisors (see below), whose sum is σ = 121985024. Its totient is φ = 22643712.

The previous prime is 53311547. The next prime is 53311553. The reversal of 53311552 is 25511335.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53311553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56428 + ... + 57364.

It is an arithmetic number, because the mean of its divisors is an integer number (2178304).

Almost surely, 253311552 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 53311552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60992512).

53311552 is an abundant number, since it is smaller than the sum of its proper divisors (68673472).

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

53311552 is a wasteful number, since it uses less digits than its factorization.

53311552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1073 counting only the distinct ones).

The product of its digits is 2250, while the sum is 25.

The square root of 53311552 is about 7301.4760151630. The cubic root of 53311552 is about 376.3631620264.

Adding to 53311552 its reverse (25511335), we get a palindrome (78822887).

The spelling of 53311552 in words is "fifty-three million, three hundred eleven thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 127 224 254 448 508 889 937 1016 1778 1874 2032 3556 3748 4064 6559 7112 7496 8128 13118 14224 14992 26236 28448 29984 52472 56896 59968 104944 118999 209888 237998 419776 475996 832993 951992 1665986 1903984 3331972 3807968 6663944 7615936 13327888 26655776 53311552