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2854138632 = 2332311345757
BaseRepresentation
bin1010101000011110…
…1011001100001000
321100220120021011020
42222013223030020
521321124414012
61151114032440
7130504530612
oct25207531410
97326507136
102854138632
1112350a5664
12677a18720
13366404337
141d10b7db2
1511a880a8c
hexaa1eb308

2854138632 has 64 divisors (see below), whose sum is σ = 7511633280. Its totient is φ = 901942272.

The previous prime is 2854138613. The next prime is 2854138663. The reversal of 2854138632 is 2368314582.

It is a super-2 number, since 2×28541386322 = 16292214661349662848, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39498 + ... + 85254.

It is an arithmetic number, because the mean of its divisors is an integer number (117369270).

Almost surely, 22854138632 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 2854138632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3755816640).

2854138632 is an abundant number, since it is smaller than the sum of its proper divisors (4657494648).

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

2854138632 is a wasteful number, since it uses less digits than its factorization.

2854138632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45902 (or 45898 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 2854138632 is about 53424.1390384534. The cubic root of 2854138632 is about 1418.4858938946.

The spelling of 2854138632 in words is "two billion, eight hundred fifty-four million, one hundred thirty-eight thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 113 138 184 226 276 339 452 552 678 904 1356 2599 2712 5198 7797 10396 15594 20792 31188 45757 62376 91514 137271 183028 274542 366056 549084 1052411 1098168 2104822 3157233 4209644 5170541 6314466 8419288 10341082 12628932 15511623 20682164 25257864 31023246 41364328 62046492 118922443 124092984 237844886 356767329 475689772 713534658 951379544 1427069316 2854138632