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53239968 = 2532401461
BaseRepresentation
bin1100101100011…
…0000010100000
310201011212111200
43023012002200
5102112134333
65141041200
71214350365
oct313060240
9121155450
1053239968
1128063a81
12159b6200
13b051052
1470dc46c
154a19c13
hex32c60a0

53239968 has 72 divisors (see below), whose sum is σ = 152107956. Its totient is φ = 17664000.

The previous prime is 53239933. The next prime is 53239999. The reversal of 53239968 is 86993235.

It can be written as a sum of positive squares in 2 ways, for example, as 49956624 + 3283344 = 7068^2 + 1812^2 .

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

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, 115258 + ... + 115718.

Almost surely, 253239968 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 53239968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76053978).

53239968 is an abundant number, since it is smaller than the sum of its proper divisors (98867988).

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

53239968 is a wasteful number, since it uses less digits than its factorization.

53239968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 867 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 53239968 is about 7296.5723459718. The cubic root of 53239968 is about 376.1946328980.

The spelling of 53239968 in words is "fifty-three million, two hundred thirty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 401 461 802 922 1203 1383 1604 1844 2406 2766 3208 3609 3688 4149 4812 5532 6416 7218 7376 8298 9624 11064 12832 14436 14752 16596 19248 22128 28872 33192 38496 44256 57744 66384 115488 132768 184861 369722 554583 739444 1109166 1478888 1663749 2218332 2957776 3327498 4436664 5915552 6654996 8873328 13309992 17746656 26619984 53239968