Search a number
-
+
53034336 = 25321071721
BaseRepresentation
bin1100101001001…
…1110101100000
310200210102102200
43022103311200
5102034044321
65132413200
71212533025
oct312236540
9120712380
1053034336
1127a33533
1215917200
13acab584
14708754c
1549c8d26
hex3293d60

53034336 has 72 divisors (see below), whose sum is σ = 152314344. Its totient is φ = 17502720.

The previous prime is 53034323. The next prime is 53034341. The reversal of 53034336 is 63343035.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29956 + ... + 31676.

It is an arithmetic number, because the mean of its divisors is an integer number (2115477).

Almost surely, 253034336 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 53034336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76157172).

53034336 is an abundant number, since it is smaller than the sum of its proper divisors (99280008).

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

53034336 is a wasteful number, since it uses less digits than its factorization.

53034336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1844 (or 1833 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 27.

The square root of 53034336 is about 7282.4677136256. The cubic root of 53034336 is about 375.7096747840.

The spelling of 53034336 in words is "fifty-three million, thirty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 107 144 214 288 321 428 642 856 963 1284 1712 1721 1926 2568 3424 3442 3852 5136 5163 6884 7704 10272 10326 13768 15408 15489 20652 27536 30816 30978 41304 55072 61956 82608 123912 165216 184147 247824 368294 495648 552441 736588 1104882 1473176 1657323 2209764 2946352 3314646 4419528 5892704 6629292 8839056 13258584 17678112 26517168 53034336