Search a number
-
+
53500050 = 23252611949
BaseRepresentation
bin1100110000010…
…1100010010010
310201200002021100
43030011202102
5102144000200
65150405230
71216512552
oct314054222
9121602240
1053500050
112822141a
1215b00816
13b112546
147169162
154a6bd00
hex3305892

53500050 has 72 divisors (see below), whose sum is σ = 146168100. Its totient is φ = 14025600.

The previous prime is 53500043. The next prime is 53500061. The reversal of 53500050 is 5000535.

It can be written as a sum of positive squares in 6 ways, for example, as 12552849 + 40947201 = 3543^2 + 6399^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 53499996 and 53500032.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26476 + ... + 28424.

Almost surely, 253500050 is an apocalyptic number.

53500050 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 53500050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73084050).

53500050 is an abundant number, since it is smaller than the sum of its proper divisors (92668050).

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

53500050 is a wasteful number, since it uses less digits than its factorization.

53500050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2028 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 375, while the sum is 18.

The square root of 53500050 is about 7314.3728370927. The cubic root of 53500050 is about 376.8062195547.

Adding to 53500050 its reverse (5000535), we get a palindrome (58500585).

The spelling of 53500050 in words is "fifty-three million, five hundred thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 61 75 90 122 150 183 225 305 366 450 549 610 915 1098 1525 1830 1949 2745 3050 3898 4575 5490 5847 9150 9745 11694 13725 17541 19490 27450 29235 35082 48725 58470 87705 97450 118889 146175 175410 237778 292350 356667 438525 594445 713334 877050 1070001 1188890 1783335 2140002 2972225 3566670 5350005 5944450 8916675 10700010 17833350 26750025 53500050