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53389152 = 2533611013
BaseRepresentation
bin1100101110101…
…0011101100000
310201110110011000
43023222131200
5102131423102
65144152000
71215541335
oct313523540
9121413130
1053389152
1128156073
1215a68600
13b0a3c1b
14713a98c
154a4901c
hex32ea760

53389152 has 96 divisors (see below), whose sum is σ = 158427360. Its totient is φ = 17487360.

The previous prime is 53389139. The next prime is 53389177. The reversal of 53389152 is 25198335.

53389152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52198 + ... + 53210.

It is an arithmetic number, because the mean of its divisors is an integer number (1650285).

Almost surely, 253389152 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 53389152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79213680).

53389152 is an abundant number, since it is smaller than the sum of its proper divisors (105038208).

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

53389152 is a wasteful number, since it uses less digits than its factorization.

53389152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1079 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 53389152 is about 7306.7880768502. The cubic root of 53389152 is about 376.5456842074.

The spelling of 53389152 in words is "fifty-three million, three hundred eighty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 72 96 108 122 144 183 216 244 288 366 432 488 549 732 864 976 1013 1098 1464 1647 1952 2026 2196 2928 3039 3294 4052 4392 5856 6078 6588 8104 8784 9117 12156 13176 16208 17568 18234 24312 26352 27351 32416 36468 48624 52704 54702 61793 72936 97248 109404 123586 145872 185379 218808 247172 291744 370758 437616 494344 556137 741516 875232 988688 1112274 1483032 1668411 1977376 2224548 2966064 3336822 4449096 5932128 6673644 8898192 13347288 17796384 26694576 53389152