Search a number
-
+
53345792 = 29313361
BaseRepresentation
bin1100101101111…
…1111000000000
310201101020200002
43023133320000
5102124031132
65143215132
71215301043
oct313377000
9121336602
1053345792
1128126535
1215a474a8
13b08a276
147128c5a
154a3b262
hex32dfe00

53345792 has 40 divisors (see below), whose sum is σ = 110058432. Its totient is φ = 25804800.

The previous prime is 53345771. The next prime is 53345801. The reversal of 53345792 is 29754335.

53345792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 3 ways as a sum of consecutive naturals, for example, 14192 + ... + 17552.

Almost surely, 253345792 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 53345792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55029216).

53345792 is an abundant number, since it is smaller than the sum of its proper divisors (56712640).

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

53345792 is an equidigital number, since it uses as much as digits as its factorization.

53345792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3410 (or 3394 counting only the distinct ones).

The product of its digits is 113400, while the sum is 38.

The square root of 53345792 is about 7303.8203701898. The cubic root of 53345792 is about 376.4437194059.

The spelling of 53345792 in words is "fifty-three million, three hundred forty-five thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 992 1984 3361 3968 6722 7936 13444 15872 26888 53776 104191 107552 208382 215104 416764 430208 833528 860416 1667056 1720832 3334112 6668224 13336448 26672896 53345792