Search a number
-
+
48620250000 = 24345674
BaseRepresentation
bin101101010001111111…
…100010001110010000
311122111102120121110000
4231101333202032100
51244033241000000
634200312410000
73340566210000
oct552177421620
9148442517400
1048620250000
111968a9554a3
12950a9a6900
13477ac613ca
1424d33b0000
1513e86a0000
hexb51fe2390

48620250000 has 875 divisors, whose sum is σ = 205203447581. Its totient is φ = 11113200000.

The previous prime is 48620249989. The next prime is 48620250001. The reversal of 48620250000 is 5202684.

The square root of 48620250000 is 220500.

It is a perfect power (a square), and thus also a powerful number.

48620250000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 42596006544 + 6024243456 = 206388^2 + 77616^2 .

It is a tau number, because it is divible by the number of its divisors (875).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48620250001) by changing a digit.

It is a polite number, since it can be written in 174 ways as a sum of consecutive naturals, for example, 6945749997 + ... + 6945750003.

Almost surely, 248620250000 is an apocalyptic number.

48620250000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

48620250000 is the 220500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48620250000

48620250000 is an abundant number, since it is smaller than the sum of its proper divisors (156583197581).

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

48620250000 is an frugal number, since it uses more digits than its factorization.

48620250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 48620250000 its reverse (5202684), we get a palindrome (48625452684).

The spelling of 48620250000 in words is "forty-eight billion, six hundred twenty million, two hundred fifty thousand".