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53135250 = 2353729349
BaseRepresentation
bin1100101010110…
…0011110010010
310200222112212020
43022230132102
5102100312000
65134512310
71213433160
oct312543622
9120875766
1053135250
1127aa2333
1215965696
13b01549c
1470b2230
1549e8ba0
hex32ac792

53135250 has 128 divisors (see below), whose sum is σ = 157248000. Its totient is φ = 11692800.

The previous prime is 53135249. The next prime is 53135261. The reversal of 53135250 is 5253135.

53135250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 53135250.

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 63 ways as a sum of consecutive naturals, for example, 152076 + ... + 152424.

It is an arithmetic number, because the mean of its divisors is an integer number (1228500).

Almost surely, 253135250 is an apocalyptic number.

53135250 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 53135250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78624000).

53135250 is an abundant number, since it is smaller than the sum of its proper divisors (104112750).

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

53135250 is a wasteful number, since it uses less digits than its factorization.

53135250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 24.

The square root of 53135250 is about 7289.3929788426. The cubic root of 53135250 is about 375.9478245469.

Adding to 53135250 its reverse (5253135), we get a palindrome (58388385).

The spelling of 53135250 in words is "fifty-three million, one hundred thirty-five thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 29 30 35 42 50 58 70 75 87 105 125 145 150 174 175 203 210 250 290 349 350 375 406 435 525 609 698 725 750 870 875 1015 1047 1050 1218 1450 1745 1750 2030 2094 2175 2443 2625 3045 3490 3625 4350 4886 5075 5235 5250 6090 7250 7329 8725 10121 10150 10470 10875 12215 14658 15225 17450 20242 21750 24430 25375 26175 30363 30450 36645 43625 50605 50750 52350 60726 61075 70847 73290 76125 87250 101210 122150 130875 141694 151815 152250 183225 212541 253025 261750 303630 305375 354235 366450 425082 506050 610750 708470 759075 916125 1062705 1265125 1518150 1771175 1832250 2125410 2530250 3542350 3795375 5313525 7590750 8855875 10627050 17711750 26567625 53135250