Search a number
-
+
2857683348 = 223313612547
BaseRepresentation
bin1010101001010100…
…1100100110010100
321101011020100121000
42222111030212110
521323031331343
61151322023300
7130546623222
oct25225144624
97334210530
102857683348
1112370a6883
12679047b30
133670758c0
141d175bb12
1511ad30ed3
hexaa54c994

2857683348 has 144 divisors (see below), whose sum is σ = 8126489280. Its totient is φ = 863291520.

The previous prime is 2857683317. The next prime is 2857683377. The reversal of 2857683348 is 8433867582.

2857683348 is a `hidden beast` number, since 28 + 576 + 8 + 3 + 3 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2857683294 and 2857683303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5224011 + ... + 5224557.

Almost surely, 22857683348 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 2857683348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4063244640).

2857683348 is an abundant number, since it is smaller than the sum of its proper divisors (5268805932).

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

2857683348 is a wasteful number, since it uses less digits than its factorization.

2857683348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 626 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The square root of 2857683348 is about 53457.3039724227. The cubic root of 2857683348 is about 1419.0728835442.

The spelling of 2857683348 in words is "two billion, eight hundred fifty-seven million, six hundred eighty-three thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 61 78 108 117 122 156 183 234 244 351 366 468 547 549 702 732 793 1094 1098 1404 1586 1641 1647 2188 2196 2379 3172 3282 3294 3721 4758 4923 6564 6588 7111 7137 7442 9516 9846 11163 14222 14274 14769 14884 19692 21333 21411 22326 28444 28548 29538 33367 33489 42666 42822 44652 48373 59076 63999 66734 66978 85332 85644 96746 100101 100467 127998 133468 133956 145119 191997 193492 200202 200934 255996 290238 300303 383994 400404 401868 433771 435357 580476 600606 767988 867542 870714 900909 1201212 1301313 1306071 1735084 1741428 1801818 2035387 2602626 2612142 3603636 3903939 4070774 5205252 5224284 6106161 7807878 8141548 11711817 12212322 15615756 18318483 23423634 24424644 26460031 36636966 46847268 52920062 54955449 73273932 79380093 105840124 109910898 158760186 219821796 238140279 317520372 476280558 714420837 952561116 1428841674 2857683348