Search a number
-
+
53171200 = 210523167
BaseRepresentation
bin1100101011010…
…1010000000000
310201001101011201
43022311100000
5102102434300
65135350544
71213643035
oct312652000
9121041151
1053171200
1128017345
1215982454
13b028964
1470c138c
154a0466a
hex32b5400

53171200 has 132 divisors (see below), whose sum is σ = 138082432. Its totient is φ = 20275200.

The previous prime is 53171191. The next prime is 53171201. The reversal of 53171200 is 217135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53171201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 793567 + ... + 793633.

Almost surely, 253171200 is an apocalyptic number.

53171200 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 53171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69041216).

53171200 is an abundant number, since it is smaller than the sum of its proper divisors (84911232).

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

53171200 is a wasteful number, since it uses less digits than its factorization.

53171200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 53171200 is about 7291.8584736677. The cubic root of 53171200 is about 376.0325911089.

Adding to 53171200 its reverse (217135), we get a palindrome (53388335).

The spelling of 53171200 in words is "fifty-three million, one hundred seventy-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 64 67 80 100 124 128 134 155 160 200 248 256 268 310 320 335 400 496 512 536 620 640 670 775 800 992 1024 1072 1240 1280 1340 1550 1600 1675 1984 2077 2144 2480 2560 2680 3100 3200 3350 3968 4154 4288 4960 5120 5360 6200 6400 6700 7936 8308 8576 9920 10385 10720 12400 12800 13400 15872 16616 17152 19840 20770 21440 24800 25600 26800 31744 33232 34304 39680 41540 42880 49600 51925 53600 66464 68608 79360 83080 85760 99200 103850 107200 132928 158720 166160 171520 198400 207700 214400 265856 332320 343040 396800 415400 428800 531712 664640 793600 830800 857600 1063424 1329280 1661600 1715200 2126848 2658560 3323200 5317120 6646400 10634240 13292800 26585600 53171200