Search a number
-
+
4848008440 = 2351185312917
BaseRepresentation
bin1001000001111011…
…01011110011111000
3110111212101100100011
410200331223303320
534412042232230
62121021351304
7231065251252
oct44075536370
913455340304
104848008440
112068635550
12b33708534
135c3513362
1433dc18cd2
151d5931e2a
hex120f6bcf8

4848008440 has 64 divisors (see below), whose sum is σ = 11914529760. Its totient is φ = 1760709120.

The previous prime is 4848008423. The next prime is 4848008443. The reversal of 4848008440 is 448008484.

It is a super-2 number, since 2×48480084402 = 47006371668622467200, which contains 22 as substring.

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 = 4848008393 and 4848008402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4848008443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 368862 + ... + 381778.

Almost surely, 24848008440 is an apocalyptic number.

4848008440 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 4848008440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5957264880).

4848008440 is an abundant number, since it is smaller than the sum of its proper divisors (7066521320).

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

4848008440 is a wasteful number, since it uses less digits than its factorization.

4848008440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13792 (or 13788 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The square root of 4848008440 is about 69627.6413502569. The cubic root of 4848008440 is about 1692.4705576822.

The spelling of 4848008440 in words is "four billion, eight hundred forty-eight million, eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 853 1706 3412 4265 6824 8530 9383 12917 17060 18766 25834 34120 37532 46915 51668 64585 75064 93830 103336 129170 142087 187660 258340 284174 375320 516680 568348 710435 1136696 1420870 2841740 5683480 11018201 22036402 44072804 55091005 88145608 110182010 121200211 220364020 242400422 440728040 484800844 606001055 969601688 1212002110 2424004220 4848008440