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2854135536 = 243724725819
BaseRepresentation
bin1010101000011110…
…1010011011110000
321100220120002220120
42222013222123300
521321124314121
61151114010240
7130504515600
oct25207523360
97326502816
102854135536
1112350a32aa
12677a16980
13366402ac5
141d10b6c00
1511a87ebc6
hexaa1ea6f0

2854135536 has 120 divisors (see below), whose sum is σ = 8759796480. Its totient is φ = 798086016.

The previous prime is 2854135523. The next prime is 2854135541. The reversal of 2854135536 is 6355314582.

2854135536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 97635 + ... + 123453.

It is an arithmetic number, because the mean of its divisors is an integer number (72998304).

Almost surely, 22854135536 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 2854135536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4379898240).

2854135536 is an abundant number, since it is smaller than the sum of its proper divisors (5905660944).

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

2854135536 is a wasteful number, since it uses less digits than its factorization.

2854135536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25891 (or 25878 counting only the distinct ones).

The product of its digits is 432000, while the sum is 42.

The square root of 2854135536 is about 53424.1100627797. The cubic root of 2854135536 is about 1418.4853809980.

The spelling of 2854135536 in words is "two billion, eight hundred fifty-four million, one hundred thirty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 47 48 49 56 84 94 98 112 141 147 168 188 196 282 294 329 336 376 392 564 588 658 752 784 987 1128 1176 1316 1974 2256 2303 2352 2632 3948 4606 5264 6909 7896 9212 13818 15792 18424 25819 27636 36848 51638 55272 77457 103276 110544 154914 180733 206552 309828 361466 413104 542199 619656 722932 1084398 1213493 1239312 1265131 1445864 2168796 2426986 2530262 2891728 3640479 3795393 4337592 4853972 5060524 7280958 7590786 8494451 8675184 9707944 10121048 14561916 15181572 16988902 19415888 20242096 25483353 29123832 30363144 33977804 50966706 58247664 59461157 60726288 67955608 101933412 118922314 135911216 178383471 203866824 237844628 356766942 407733648 475689256 713533884 951378512 1427067768 2854135536