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53309088 = 2532731853
BaseRepresentation
bin1100101101011…
…0111010100000
310201022101022200
43023112322200
5102121342323
65142333200
71215056040
oct313267240
9121271280
1053309088
11281009a8
1215a2a200
13b076651
147119720
154a30443
hex32d6ea0

53309088 has 144 divisors (see below), whose sum is σ = 179053056. Its totient is φ = 14722560.

The previous prime is 53309077. The next prime is 53309089. The reversal of 53309088 is 88090335.

53309088 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 (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (53309089) 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 23 ways as a sum of consecutive naturals, for example, 62070 + ... + 62922.

It is an arithmetic number, because the mean of its divisors is an integer number (1243424).

Almost surely, 253309088 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 53309088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89526528).

53309088 is an abundant number, since it is smaller than the sum of its proper divisors (125743968).

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

53309088 is a wasteful number, since it uses less digits than its factorization.

53309088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 53309088 is about 7301.3072802067. The cubic root of 53309088 is about 376.3573635764.

The spelling of 53309088 in words is "fifty-three million, three hundred nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 32 36 42 48 56 62 63 72 84 93 96 112 124 126 144 168 186 217 224 248 252 279 288 336 372 434 496 504 558 651 672 744 853 868 992 1008 1116 1302 1488 1706 1736 1953 2016 2232 2559 2604 2976 3412 3472 3906 4464 5118 5208 5971 6824 6944 7677 7812 8928 10236 10416 11942 13648 15354 15624 17913 20472 20832 23884 26443 27296 30708 31248 35826 40944 47768 52886 53739 61416 62496 71652 79329 81888 95536 105772 107478 122832 143304 158658 185101 191072 211544 214956 237987 245664 286608 317316 370202 423088 429912 475974 555303 573216 634632 740404 846176 859824 951948 1110606 1269264 1480808 1665909 1719648 1903896 2221212 2538528 2961616 3331818 3807792 4442424 5923232 6663636 7615584 8884848 13327272 17769696 26654544 53309088