Search a number
-
+
2085383556 = 2234432592
BaseRepresentation
bin111110001001100…
…0110110110000100
312101100000110110000
41330103012312010
513232324233211
6542533001300
7102451316304
oct17423066604
95340013400
102085383556
11980165593
124a2483230
13273070c89
1415ad63604
15c312b656
hex7c4c6d84

2085383556 has 135 divisors (see below), whose sum is σ = 5677536711. Its totient is φ = 667454256.

The previous prime is 2085383483. The next prime is 2085383563. The reversal of 2085383556 is 6553835802.

The square root of 2085383556 is 45666.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 35345455 + ... + 35345513.

Almost surely, 22085383556 is an apocalyptic number.

2085383556 is the 45666-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2085383556

2085383556 is an abundant number, since it is smaller than the sum of its proper divisors (3592153155).

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

2085383556 is an equidigital number, since it uses as much as digits as its factorization.

2085383556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The cubic root of 2085383556 is about 1277.6012112882.

It can be divided in two parts, 2085 and 383556, that added together give a square (385641 = 6212).

The spelling of 2085383556 in words is "two billion, eighty-five million, three hundred eighty-three thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 59 81 86 108 118 129 162 172 177 236 258 324 354 387 516 531 708 774 1062 1161 1548 1593 1849 2124 2322 2537 3186 3481 3483 3698 4644 4779 5074 5547 6372 6962 6966 7396 7611 9558 10148 10443 11094 13924 13932 15222 16641 19116 20886 22188 22833 30444 31329 33282 41772 45666 49923 62658 66564 68499 91332 93987 99846 109091 125316 136998 149683 149769 187974 199692 205497 218182 273996 281961 299366 299538 327273 375948 410994 436364 449049 563922 598732 599076 654546 821988 898098 981819 1127844 1309092 1347147 1796196 1963638 2694294 2945457 3927276 4041441 5388588 5890914 6436369 8082882 8836371 11781828 12124323 12872738 16165764 17672742 19309107 24248646 25745476 35345484 38618214 48497292 57927321 77236428 115854642 173781963 231709284 347563926 521345889 695127852 1042691778 2085383556