Search a number
-
+
53467064 = 23719311621
BaseRepresentation
bin1100101111110…
…1011110111000
310201121102000122
43023331132320
5102141421224
65145552412
71216314440
oct313753670
9121542018
1053467064
11281a9662
1215aa5708
13b100521
14715b120
154a6215e
hex32fd7b8

53467064 has 64 divisors (see below), whose sum is σ = 124569600. Its totient is φ = 20995200.

The previous prime is 53467027. The next prime is 53467081. The reversal of 53467064 is 46076435.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32174 + ... + 33794.

It is an arithmetic number, because the mean of its divisors is an integer number (1946400).

Almost surely, 253467064 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 53467064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62284800).

53467064 is an abundant number, since it is smaller than the sum of its proper divisors (71102536).

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

53467064 is a wasteful number, since it uses less digits than its factorization.

53467064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The square root of 53467064 is about 7312.1176139337. The cubic root of 53467064 is about 376.7287623977.

The spelling of 53467064 in words is "fifty-three million, four hundred sixty-seven thousand, sixty-four".

Divisors: 1 2 4 7 8 14 19 28 31 38 56 62 76 124 133 152 217 248 266 434 532 589 868 1064 1178 1621 1736 2356 3242 4123 4712 6484 8246 11347 12968 16492 22694 30799 32984 45388 50251 61598 90776 100502 123196 201004 215593 246392 351757 402008 431186 703514 862372 954769 1407028 1724744 1909538 2814056 3819076 6683383 7638152 13366766 26733532 53467064