Search a number
-
+
4848039040 = 275132971283
BaseRepresentation
bin1001000001111011…
…10011010010000000
3110111212102220022111
410200331303102000
534412044222130
62121022145104
7231065436415
oct44075632200
913455386274
104848039040
112068656539
12b33722194
135c3524270
1433dc2610c
151d593b02a
hex120f73480

4848039040 has 256 divisors, whose sum is σ = 13139884800. Its totient is φ = 1697955840.

The previous prime is 4848039029. The next prime is 4848039041. The reversal of 4848039040 is 409308484.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4848038984 and 4848039002.

It is not an unprimeable number, because it can be changed into a prime (4848039041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17130739 + ... + 17131021.

It is an arithmetic number, because the mean of its divisors is an integer number (51327675).

Almost surely, 24848039040 is an apocalyptic number.

4848039040 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 4848039040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6569942400).

4848039040 is an abundant number, since it is smaller than the sum of its proper divisors (8291845760).

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

4848039040 is a wasteful number, since it uses less digits than its factorization.

4848039040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 4848039040 is about 69627.8610902274. The cubic root of 4848039040 is about 1692.4741185595.

The spelling of 4848039040 in words is "four billion, eight hundred forty-eight million, thirty-nine thousand, forty".