Search a number
-
+
48930329880 = 23335192413061
BaseRepresentation
bin101101100100011110…
…011001010100011000
311200022001001022002000
4231210132121110120
51300202131024010
634251150441000
73351352640655
oct554436312430
9150261038060
1048930329880
1119829994063
129596803160
1347ca27b223
142522648c2c
151415a007c0
hexb64799518

48930329880 has 384 divisors, whose sum is σ = 176393246400. Its totient is φ = 12055910400.

The previous prime is 48930329831. The next prime is 48930329887. The reversal of 48930329880 is 8892303984.

It is a happy number.

48930329880 is a `hidden beast` number, since 48 + 9 + 303 + 298 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48930329887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15983550 + ... + 15986610.

Almost surely, 248930329880 is an apocalyptic number.

48930329880 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 48930329880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88196623200).

48930329880 is an abundant number, since it is smaller than the sum of its proper divisors (127462916520).

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

48930329880 is a wasteful number, since it uses less digits than its factorization.

48930329880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3160 (or 3131 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 48930329880 in words is "forty-eight billion, nine hundred thirty million, three hundred twenty-nine thousand, eight hundred eighty".