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2085708450 = 235272817069
BaseRepresentation
bin111110001010001…
…0110001010100010
312101100121222010010
41330110112022202
513232420132300
6542543545350
7102454141440
oct17424261242
95340558103
102085708450
119803676a1
124a25bb256
13273155b17
1415b009b90
15c3192a50
hex7c5162a2

2085708450 has 96 divisors (see below), whose sum is σ = 5933370240. Its totient is φ = 474969600.

The previous prime is 2085708437. The next prime is 2085708511. The reversal of 2085708450 is 548075802.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2085708399 and 2085708408.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 291516 + ... + 298584.

It is an arithmetic number, because the mean of its divisors is an integer number (61805940).

Almost surely, 22085708450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2085708450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2966685120).

2085708450 is an abundant number, since it is smaller than the sum of its proper divisors (3847661790).

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

2085708450 is a wasteful number, since it uses less digits than its factorization.

2085708450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7372 (or 7367 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 39.

The square root of 2085708450 is about 45669.5571469661. The cubic root of 2085708450 is about 1277.6675561440.

The spelling of 2085708450 in words is "two billion, eighty-five million, seven hundred eight thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 281 350 525 562 843 1050 1405 1686 1967 2810 3934 4215 5901 7025 7069 8430 9835 11802 14050 14138 19670 21075 21207 29505 35345 42150 42414 49175 49483 59010 70690 98350 98966 106035 147525 148449 176725 212070 247415 295050 296898 353450 494830 530175 742245 1060350 1237075 1484490 1986389 2474150 3711225 3972778 5959167 7422450 9931945 11918334 13904723 19863890 27809446 29795835 41714169 49659725 59591670 69523615 83428338 99319450 139047230 148979175 208570845 297958350 347618075 417141690 695236150 1042854225 2085708450