Search a number
-
+
48230659440 = 2435519130579
BaseRepresentation
bin101100111010110001…
…010111010101110000
311121111021111100200000
4230322301113111300
51242234022100230
634053514230000
73325125561315
oct547261272560
9147437440600
1048230659440
11194aaa4a327
129420425300
134718325b52
142497758d0c
1513c4395b60
hexb3ac57570

48230659440 has 240 divisors, whose sum is σ = 176815766400. Its totient is φ = 12184494336.

The previous prime is 48230659417. The next prime is 48230659453. The reversal of 48230659440 is 4495603284.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×482306594402 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 304071 + ... + 434649.

It is an arithmetic number, because the mean of its divisors is an integer number (736732360).

Almost surely, 248230659440 is an apocalyptic number.

48230659440 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 48230659440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88407883200).

48230659440 is an abundant number, since it is smaller than the sum of its proper divisors (128585106960).

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

48230659440 is a wasteful number, since it uses less digits than its factorization.

48230659440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130626 (or 130608 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 48230659440 in words is "forty-eight billion, two hundred thirty million, six hundred fifty-nine thousand, four hundred forty".