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53238200 = 23522967137
BaseRepresentation
bin1100101100010…
…1100110111000
310201011210002012
43023011212320
5102112110300
65141025052
71214342261
oct313054670
9121153065
1053238200
1128062714
12159b5188
13b0502c2
1470db968
154a19435
hex32c59b8

53238200 has 96 divisors (see below), whose sum is σ = 130906800. Its totient is φ = 20106240.

The previous prime is 53238193. The next prime is 53238233. The reversal of 53238200 is 283235.

53238200 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 23 ways as a sum of consecutive naturals, for example, 388532 + ... + 388668.

Almost surely, 253238200 is an apocalyptic number.

53238200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53238200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65453400).

53238200 is an abundant number, since it is smaller than the sum of its proper divisors (77668600).

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

53238200 is a wasteful number, since it uses less digits than its factorization.

53238200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 53238200 is about 7296.4511921893. The cubic root of 53238200 is about 376.1904686113.

The spelling of 53238200 in words is "fifty-three million, two hundred thirty-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 67 100 116 134 137 145 200 232 268 274 290 335 536 548 580 670 685 725 1096 1160 1340 1370 1450 1675 1943 2680 2740 2900 3350 3425 3886 3973 5480 5800 6700 6850 7772 7946 9179 9715 13400 13700 15544 15892 18358 19430 19865 27400 31784 36716 38860 39730 45895 48575 73432 77720 79460 91790 97150 99325 158920 183580 194300 198650 229475 266191 367160 388600 397300 458950 532382 794600 917900 1064764 1330955 1835800 2129528 2661910 5323820 6654775 10647640 13309550 26619100 53238200