Search a number
-
+
48521200 = 24527133143
BaseRepresentation
bin1011100100010…
…1111111110000
310101022010120111
42321011333300
544410134300
64451551104
71126265140
oct271057760
9111263514
1048521200
1125430772
12142bb494
13a08b290
146630920
1543d69ba
hex2e45ff0

48521200 has 240 divisors, whose sum is σ = 151545856. Its totient is φ = 14515200.

The previous prime is 48521189. The next prime is 48521201. The reversal of 48521200 is 212584.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48521201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1128379 + ... + 1128421.

Almost surely, 248521200 is an apocalyptic number.

48521200 is a gapful number since it is divisible by the number (40) 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 48521200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75772928).

48521200 is an abundant number, since it is smaller than the sum of its proper divisors (103024656).

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

48521200 is a wasteful number, since it uses less digits than its factorization.

48521200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 48521200 is about 6965.7160435952. The cubic root of 48521200 is about 364.7347794940.

Adding to 48521200 its reverse (212584), we get a palindrome (48733784).

The spelling of 48521200 in words is "forty-eight million, five hundred twenty-one thousand, two hundred".