Search a number
-
+
53925088 = 2573173
BaseRepresentation
bin1100110110110…
…1010011100000
310202110200022111
43031231103200
5102301100323
65203445104
71223233000
oct315552340
9122420274
1053925088
1128491798
1216086794
13b230b49
14723a000
154b02c0d
hex336d4e0

53925088 has 96 divisors (see below), whose sum is σ = 131544000. Its totient is φ = 21751296.

The previous prime is 53925083. The next prime is 53925103. The reversal of 53925088 is 88052935.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

53925088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 53925088.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53925083) by changing a digit.

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, 3172056 + ... + 3172072.

It is an arithmetic number, because the mean of its divisors is an integer number (1370250).

Almost surely, 253925088 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 53925088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65772000).

53925088 is an abundant number, since it is smaller than the sum of its proper divisors (77618912).

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

53925088 is an frugal number, since it uses more digits than its factorization.

53925088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The square root of 53925088 is about 7343.3703433778. The cubic root of 53925088 is about 377.8014503684.

The spelling of 53925088 in words is "fifty-three million, nine hundred twenty-five thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 68 98 112 119 136 196 224 238 272 289 343 392 476 544 578 686 784 833 952 1156 1372 1568 1666 1904 2023 2312 2744 3332 3808 4046 4624 4913 5488 5831 6664 8092 9248 9826 10976 11662 13328 14161 16184 19652 23324 26656 28322 32368 34391 39304 46648 56644 64736 68782 78608 93296 99127 113288 137564 157216 186592 198254 226576 240737 275128 396508 453152 481474 550256 793016 962948 1100512 1586032 1685159 1925896 3172064 3370318 3851792 6740636 7703584 13481272 26962544 53925088