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53255904 = 25313139307
BaseRepresentation
bin1100101100100…
…1111011100000
310201012200100220
43023021323200
5102113142104
65141243040
71214445012
oct313117340
9121180326
1053255904
1128074a49
1215a03480
13b058390
1471041b2
154a1e7d9
hex32c9ee0

53255904 has 96 divisors (see below), whose sum is σ = 152127360. Its totient is φ = 16215552.

The previous prime is 53255903. The next prime is 53255911. The reversal of 53255904 is 40955235.

53255904 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (53255903) by changing a digit.

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, 173319 + ... + 173625.

It is an arithmetic number, because the mean of its divisors is an integer number (1584660).

Almost surely, 253255904 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 53255904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76063680).

53255904 is an abundant number, since it is smaller than the sum of its proper divisors (98871456).

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

53255904 is a wasteful number, since it uses less digits than its factorization.

53255904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

The square root of 53255904 is about 7297.6642838651. The cubic root of 53255904 is about 376.2321638473.

The spelling of 53255904 in words is "fifty-three million, two hundred fifty-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 139 156 208 278 307 312 416 417 556 614 624 834 921 1112 1228 1248 1668 1807 1842 2224 2456 3336 3614 3684 3991 4448 4912 5421 6672 7228 7368 7982 9824 10842 11973 13344 14456 14736 15964 21684 23946 28912 29472 31928 42673 43368 47892 57824 63856 85346 86736 95784 127712 128019 170692 173472 191568 256038 341384 383136 512076 554749 682768 1024152 1109498 1365536 1664247 2048304 2218996 3328494 4096608 4437992 6656988 8875984 13313976 17751968 26627952 53255904