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53104064 = 261383769
BaseRepresentation
bin1100101010010…
…0110111000000
310200220222002012
43022210313000
5102043312224
65134112052
71213243226
oct312446700
9120828065
1053104064
1127a80962
121594b628
13b004230
1470a4b16
1549de80e
hex32a4dc0

53104064 has 56 divisors (see below), whose sum is σ = 115001040. Its totient is φ = 24182784.

The previous prime is 53104057. The next prime is 53104067. The reversal of 53104064 is 46040135.

It is a happy number.

It is a super-2 number, since 2×531040642 = 5640083226632192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53104067) 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 7 ways as a sum of consecutive naturals, for example, 68672 + ... + 69440.

It is an arithmetic number, because the mean of its divisors is an integer number (2053590).

Almost surely, 253104064 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 53104064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57500520).

53104064 is an abundant number, since it is smaller than the sum of its proper divisors (61896976).

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

53104064 is a wasteful number, since it uses less digits than its factorization.

53104064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 53104064 is about 7287.2535292797. The cubic root of 53104064 is about 375.8742600529.

Adding to 53104064 its reverse (46040135), we get a palindrome (99144199).

The spelling of 53104064 in words is "fifty-three million, one hundred four thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 83 104 166 208 332 416 664 769 832 1079 1328 1538 2158 2656 3076 4316 5312 6152 8632 9997 12304 17264 19994 24608 34528 39988 49216 63827 69056 79976 127654 159952 255308 319904 510616 639808 829751 1021232 1659502 2042464 3319004 4084928 6638008 13276016 26552032 53104064