Search a number
-
+
2585027808 = 2532112713011
BaseRepresentation
bin1001101000010100…
…0110010011100000
320200011012000111200
42122011012103200
520243231342213
61104302041200
7121026242136
oct23205062340
96604160450
102585027808
1111071a9720
12601879200
1332273016c
141a7465756
15101e24273
hex9a1464e0

2585027808 has 144 divisors (see below), whose sum is σ = 8051726592. Its totient is φ = 780192000.

The previous prime is 2585027791. The next prime is 2585027813. The reversal of 2585027808 is 8087205852.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 857023 + ... + 860033.

It is an arithmetic number, because the mean of its divisors is an integer number (55914768).

Almost surely, 22585027808 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 2585027808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4025863296).

2585027808 is an abundant number, since it is smaller than the sum of its proper divisors (5466698784).

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

2585027808 is a wasteful number, since it uses less digits than its factorization.

2585027808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3309 (or 3298 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 2585027808 is about 50843.1687446799. The cubic root of 2585027808 is about 1372.4243234176.

The spelling of 2585027808 in words is "two billion, five hundred eighty-five million, twenty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 271 288 352 396 528 542 792 813 1056 1084 1584 1626 2168 2439 2981 3011 3168 3252 4336 4878 5962 6022 6504 8672 8943 9033 9756 11924 12044 13008 17886 18066 19512 23848 24088 26016 26829 27099 33121 35772 36132 39024 47696 48176 53658 54198 66242 71544 72264 78048 95392 96352 99363 107316 108396 132484 143088 144528 198726 214632 216792 264968 286176 289056 298089 397452 429264 433584 529936 596178 794904 815981 858528 867168 1059872 1192356 1589808 1631962 2384712 2447943 3179616 3263924 4769424 4895886 6527848 7343829 8975791 9538848 9791772 13055696 14687658 17951582 19583544 26111392 26927373 29375316 35903164 39167088 53854746 58750632 71806328 78334176 80782119 107709492 117501264 143612656 161564238 215418984 235002528 287225312 323128476 430837968 646256952 861675936 1292513904 2585027808