Search a number
-
+
53681152 = 21077489
BaseRepresentation
bin1100110011000…
…1110000000000
310202000021200211
43030301300000
5102220244102
65154323504
71221165550
oct314616000
9122007624
1053681152
1128335498
1215b89594
13b176ac5
1471b5160
154aa57d7
hex3331c00

53681152 has 44 divisors (see below), whose sum is σ = 122656240. Its totient is φ = 23003136.

The previous prime is 53681101. The next prime is 53681153. The reversal of 53681152 is 25118635.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53681153) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3424 + ... + 10912.

Almost surely, 253681152 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 53681152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61328120).

53681152 is an abundant number, since it is smaller than the sum of its proper divisors (68975088).

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

53681152 is an equidigital number, since it uses as much as digits as its factorization.

53681152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7516 (or 7498 counting only the distinct ones).

The product of its digits is 7200, while the sum is 31.

The square root of 53681152 is about 7326.7422501409. The cubic root of 53681152 is about 377.2309138913.

Adding to 53681152 its reverse (25118635), we get a palindrome (78799787).

The spelling of 53681152 in words is "fifty-three million, six hundred eighty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 3584 7168 7489 14978 29956 52423 59912 104846 119824 209692 239648 419384 479296 838768 958592 1677536 1917184 3355072 3834368 6710144 7668736 13420288 26840576 53681152