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53011332 = 223211263509
BaseRepresentation
bin1100101000111…
…0001110000100
310200202020212200
43022032032010
5102032330312
65132114500
71212405663
oct312161604
9120666780
1053011332
1127a18220
1215905a30
13aca0c6a
14707cdda
1549c20dc
hex328e384

53011332 has 72 divisors (see below), whose sum is σ = 147026880. Its totient is φ = 15971520.

The previous prime is 53011327. The next prime is 53011339. The reversal of 53011332 is 23311035.

53011332 is a `hidden beast` number, since 530 + 1 + 133 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (53011339) 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, 103894 + ... + 104402.

It is an arithmetic number, because the mean of its divisors is an integer number (2042040).

Almost surely, 253011332 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 53011332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73513440).

53011332 is an abundant number, since it is smaller than the sum of its proper divisors (94015548).

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

53011332 is a wasteful number, since it uses less digits than its factorization.

53011332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 53011332 is about 7280.8881326388. Note that the first 3 decimals coincide. The cubic root of 53011332 is about 375.6553447283.

Adding to 53011332 its reverse (23311035), we get a palindrome (76322367).

The spelling of 53011332 in words is "fifty-three million, eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 263 396 509 526 789 1018 1052 1527 1578 2036 2367 2893 3054 3156 4581 4734 5599 5786 6108 8679 9162 9468 11198 11572 16797 17358 18324 22396 26037 33594 34716 50391 52074 67188 100782 104148 133867 201564 267734 401601 535468 803202 1204803 1472537 1606404 2409606 2945074 4417611 4819212 5890148 8835222 13252833 17670444 26505666 53011332