Search a number
-
+
4048283620 = 2257325111047
BaseRepresentation
bin1111000101001011…
…1110011111100100
3101110010120010010101
43301102332133210
531242330033440
61505412433444
7202214562103
oct36122763744
911403503111
104048283620
111798172447
1294b918884
134c69287c4
142a592203a
1518a61169a
hexf14be7e4

4048283620 has 48 divisors (see below), whose sum is σ = 8652970368. Its totient is φ = 1590624000.

The previous prime is 4048283599. The next prime is 4048283639. The reversal of 4048283620 is 263828404.

It is a super-3 number, since 3×40482836203 (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4048283620.

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 15 ways as a sum of consecutive naturals, for example, 360937 + ... + 371983.

It is an arithmetic number, because the mean of its divisors is an integer number (180270216).

Almost surely, 24048283620 is an apocalyptic number.

It is an amenable number.

4048283620 is an abundant number, since it is smaller than the sum of its proper divisors (4604686748).

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

4048283620 is a wasteful number, since it uses less digits than its factorization.

4048283620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11380 (or 11378 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

The square root of 4048283620 is about 63626.1237228860. The cubic root of 4048283620 is about 1593.7626459179.

The spelling of 4048283620 in words is "four billion, forty-eight million, two hundred eighty-three thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 73 146 251 292 365 502 730 1004 1255 1460 2510 5020 11047 18323 22094 36646 44188 55235 73292 91615 110470 183230 220940 366460 806431 1612862 2772797 3225724 4032155 5545594 8064310 11091188 13863985 16128620 27727970 55455940 202414181 404828362 809656724 1012070905 2024141810 4048283620