Search a number
-
+
53998200 = 233252131229
BaseRepresentation
bin1100110111111…
…1001001111000
310202121101121100
43031333021320
5102310420300
65205211400
71223656104
oct315771170
9122541540
1053998200
1128531713
1216100b60
13b2581c9
147258904
154b19700
hex337f278

53998200 has 144 divisors (see below), whose sum is σ = 183526200. Its totient is φ = 14227200.

The previous prime is 53998177. The next prime is 53998201. The reversal of 53998200 is 289935.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53998201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 235686 + ... + 235914.

Almost surely, 253998200 is an apocalyptic number.

53998200 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 53998200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91763100).

53998200 is an abundant number, since it is smaller than the sum of its proper divisors (129528000).

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

53998200 is a wasteful number, since it uses less digits than its factorization.

53998200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 53998200 is about 7348.3467528418. The cubic root of 53998200 is about 377.9721151850.

The spelling of 53998200 in words is "fifty-three million, nine hundred ninety-eight thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 131 150 180 200 225 229 262 300 360 393 450 458 524 600 655 687 786 900 916 1048 1145 1179 1310 1374 1572 1800 1832 1965 2061 2290 2358 2620 2748 3144 3275 3435 3930 4122 4580 4716 5240 5496 5725 5895 6550 6870 7860 8244 9160 9432 9825 10305 11450 11790 13100 13740 15720 16488 17175 19650 20610 22900 23580 26200 27480 29475 29999 34350 39300 41220 45800 47160 51525 58950 59998 68700 78600 82440 89997 103050 117900 119996 137400 149995 179994 206100 235800 239992 269991 299990 359988 412200 449985 539982 599980 719976 749975 899970 1079964 1199960 1349955 1499950 1799940 2159928 2249925 2699910 2999900 3599880 4499850 5399820 5999800 6749775 8999700 10799640 13499550 17999400 26999100 53998200