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4048526340 = 223358984239
BaseRepresentation
bin1111000101001111…
…1001110000000100
3101110011000110002000
43301103321300010
531242410320330
61505421545300
7202216622535
oct36123716004
911404013060
104048526340
111798318841
1294ba15230
134c69b2121
142a598668c
1518a65d560
hexf14f9c04

4048526340 has 96 divisors (see below), whose sum is σ = 12737088000. Its totient is φ = 1067463936.

The previous prime is 4048526303. The next prime is 4048526359. The reversal of 4048526340 is 436258404.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4048526295 and 4048526304.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5941 + ... + 90179.

It is an arithmetic number, because the mean of its divisors is an integer number (132678000).

Almost surely, 24048526340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4048526340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6368544000).

4048526340 is an abundant number, since it is smaller than the sum of its proper divisors (8688561660).

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

4048526340 is a wasteful number, since it uses less digits than its factorization.

4048526340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84346 (or 84338 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 4048526340 is about 63628.0310869353. The cubic root of 4048526340 is about 1593.7944973043.

The spelling of 4048526340 in words is "four billion, forty-eight million, five hundred twenty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 89 90 108 135 178 180 267 270 356 445 534 540 801 890 1068 1335 1602 1780 2403 2670 3204 4005 4806 5340 8010 9612 12015 16020 24030 48060 84239 168478 252717 336956 421195 505434 758151 842390 1010868 1263585 1516302 1684780 2274453 2527170 3032604 3790755 4548906 5054340 7497271 7581510 9097812 11372265 14994542 15163020 22491813 22744530 29989084 37486355 44983626 45489060 67475439 74972710 89967252 112459065 134950878 149945420 202426317 224918130 269901756 337377195 404852634 449836260 674754390 809705268 1012131585 1349508780 2024263170 4048526340