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2856138096 = 243761331421
BaseRepresentation
bin1010101000111101…
…0011010101110000
321101001022211220110
42222033103111300
521322132404341
61151224541320
7130530526140
oct25217232560
97331284813
102856138096
111236240909
12678621840
13366954456
141d1478920
1511ab28216
hexaa3d3570

2856138096 has 160 divisors (see below), whose sum is σ = 8616956416. Its totient is φ = 798336000.

The previous prime is 2856138079. The next prime is 2856138107. The reversal of 2856138096 is 6908316582.

It is a happy number.

2856138096 is digitally balanced in base 2 and base 4, because in such bases 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 (48).

It is a congruent number.

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, 6783966 + ... + 6784386.

Almost surely, 22856138096 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 2856138096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4308478208).

2856138096 is an abundant number, since it is smaller than the sum of its proper divisors (5760818320).

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

2856138096 is a wasteful number, since it uses less digits than its factorization.

2856138096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The square root of 2856138096 is about 53442.8488761593. The cubic root of 2856138096 is about 1418.8170562056.

The spelling of 2856138096 in words is "two billion, eight hundred fifty-six million, one hundred thirty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 61 84 112 122 168 183 244 331 336 366 421 427 488 662 732 842 854 976 993 1263 1281 1324 1464 1684 1708 1986 2317 2526 2562 2648 2928 2947 3368 3416 3972 4634 5052 5124 5296 5894 6736 6832 6951 7944 8841 9268 10104 10248 11788 13902 15888 17682 18536 20191 20208 20496 23576 25681 27804 35364 37072 40382 47152 51362 55608 60573 70728 77043 80764 102724 111216 121146 139351 141337 141456 154086 161528 179767 205448 242292 278702 282674 308172 323056 359534 410896 418053 424011 484584 539301 557404 565348 616344 719068 836106 848022 969168 975457 1078602 1114808 1130696 1232688 1438136 1672212 1696044 1950914 2157204 2229616 2261392 2876272 2926371 3344424 3392088 3901828 4314408 5852742 6688848 6784176 7803656 8500411 8628816 11705484 15607312 17000822 23410968 25501233 34001644 46821936 51002466 59502877 68003288 102004932 119005754 136006576 178508631 204009864 238011508 357017262 408019728 476023016 714034524 952046032 1428069048 2856138096