Search a number
-
+
53358528 = 2632343281
BaseRepresentation
bin1100101110001…
…0111111000000
310201101220010210
43023202333000
5102124433103
65143354120
71215353136
oct313427700
9121356123
1053358528
1128135063
1215a52940
13b092cc2
14712d756
154a3ee03
hex32e2fc0

53358528 has 112 divisors (see below), whose sum is σ = 151278336. Its totient is φ = 16558080.

The previous prime is 53358511. The next prime is 53358541. The reversal of 53358528 is 82585335.

53358528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 189748 + ... + 190028.

Almost surely, 253358528 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 53358528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75639168).

53358528 is an abundant number, since it is smaller than the sum of its proper divisors (97919808).

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

53358528 is a wasteful number, since it uses less digits than its factorization.

53358528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 352 counting only the distinct ones).

The product of its digits is 144000, while the sum is 39.

The square root of 53358528 is about 7304.6921906402. The cubic root of 53358528 is about 376.4736749441.

It can be divided in two parts, 5 and 3358528, that added together give a palindrome (3358533).

The spelling of 53358528 in words is "fifty-three million, three hundred fifty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 43 46 48 64 69 86 92 96 129 138 172 184 192 258 276 281 344 368 516 552 562 688 736 843 989 1032 1104 1124 1376 1472 1686 1978 2064 2208 2248 2752 2967 3372 3956 4128 4416 4496 5934 6463 6744 7912 8256 8992 11868 12083 12926 13488 15824 17984 19389 23736 24166 25852 26976 31648 36249 38778 47472 48332 51704 53952 63296 72498 77556 94944 96664 103408 144996 155112 189888 193328 206816 277909 289992 310224 386656 413632 555818 579984 620448 773312 833727 1111636 1159968 1240896 1667454 2223272 2319936 3334908 4446544 6669816 8893088 13339632 17786176 26679264 53358528