Search a number
-
+
54053064 = 233213174379
BaseRepresentation
bin1100111000110…
…0100011001000
310202201011212100
43032030203020
5102314144224
65210313400
71224305052
oct316144310
9122634770
1054053064
112856995a
1216128860
13b277180
1472708d2
154b2aac9
hex338c8c8

54053064 has 192 divisors, whose sum is σ = 172972800. Its totient is φ = 15095808.

The previous prime is 54053063. The next prime is 54053099. The reversal of 54053064 is 46035045.

It is not an unprimeable number, because it can be changed into a prime (54053063) 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 47 ways as a sum of consecutive naturals, for example, 684177 + ... + 684255.

It is an arithmetic number, because the mean of its divisors is an integer number (900900).

Almost surely, 254053064 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 54053064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86486400).

54053064 is an abundant number, since it is smaller than the sum of its proper divisors (118919736).

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

54053064 is a wasteful number, since it uses less digits than its factorization.

54053064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 54053064 is about 7352.0788896747. The cubic root of 54053064 is about 378.1000826783.

The spelling of 54053064 in words is "fifty-four million, fifty-three thousand, sixty-four".