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53005536 = 2533311979
BaseRepresentation
bin1100101000110…
…0110011100000
310200201221221000
43022030303200
5102032134121
65132032000
71212353043
oct312146340
9120657830
1053005536
1127a13931
1215902600
13ac9b42c
14707ac5a
1549c0526
hex328cce0

53005536 has 96 divisors (see below), whose sum is σ = 159667200. Its totient is φ = 17089920.

The previous prime is 53005531. The next prime is 53005559. The reversal of 53005536 is 63550035.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53005531) 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 15 ways as a sum of consecutive naturals, for example, 25795 + ... + 27773.

It is an arithmetic number, because the mean of its divisors is an integer number (1663200).

Almost surely, 253005536 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 53005536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79833600).

53005536 is an abundant number, since it is smaller than the sum of its proper divisors (106661664).

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

53005536 is a wasteful number, since it uses less digits than its factorization.

53005536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2029 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 27.

The square root of 53005536 is about 7280.4900933934. The cubic root of 53005536 is about 375.6416534560.

The spelling of 53005536 in words is "fifty-three million, five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 93 96 108 124 144 186 216 248 279 288 372 432 496 558 744 837 864 992 1116 1488 1674 1979 2232 2976 3348 3958 4464 5937 6696 7916 8928 11874 13392 15832 17811 23748 26784 31664 35622 47496 53433 61349 63328 71244 94992 106866 122698 142488 184047 189984 213732 245396 284976 368094 427464 490792 552141 569952 736188 854928 981584 1104282 1472376 1656423 1709856 1963168 2208564 2944752 3312846 4417128 5889504 6625692 8834256 13251384 17668512 26502768 53005536