Search a number
-
+
53190144 = 293271797
BaseRepresentation
bin1100101011100…
…1111000000000
310201002100011100
43022321320000
5102104041034
65140014400
71214052210
oct312717000
9121070140
1053190144
112802a5a7
1215991400
13b034477
1470c8240
154a0a099
hex32b9e00

53190144 has 240 divisors, whose sum is σ = 187675488. Its totient is φ = 14155776.

The previous prime is 53190143. The next prime is 53190199. The reversal of 53190144 is 44109135.

53190144 is a `hidden beast` number, since 531 + 90 + 1 + 44 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53190143) 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 23 ways as a sum of consecutive naturals, for example, 548304 + ... + 548400.

Almost surely, 253190144 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 53190144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93837744).

53190144 is an abundant number, since it is smaller than the sum of its proper divisors (134485344).

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

53190144 is a wasteful number, since it uses less digits than its factorization.

53190144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 53190144 is about 7293.1573409601. The cubic root of 53190144 is about 376.0772438255.

Adding to 53190144 its reverse (44109135), we get a palindrome (97299279).

The spelling of 53190144 in words is "fifty-three million, one hundred ninety thousand, one hundred forty-four".