Search a number
-
+
2868205312 = 2873151631
BaseRepresentation
bin1010101011110101…
…0101011100000000
321101220000221000101
42222331111130000
521333230032222
61152335332144
7131035225420
oct25275253400
97356027011
102868205312
111242033115
12680681054
133692bac0b
141d2cda480
1511bc0d927
hexaaf55700

2868205312 has 72 divisors (see below), whose sum is σ = 6754291712. Its totient is φ = 1189555200.

The previous prime is 2868205309. The next prime is 2868205339. The reversal of 2868205312 is 2135028682.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29737 + ... + 81367.

Almost surely, 22868205312 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 2868205312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3377145856).

2868205312 is an abundant number, since it is smaller than the sum of its proper divisors (3886086400).

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

2868205312 is an equidigital number, since it uses as much as digits as its factorization.

2868205312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51685 (or 51671 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 2868205312 is about 53555.6282009650. The cubic root of 2868205312 is about 1420.8124214346.

The spelling of 2868205312 in words is "two billion, eight hundred sixty-eight million, two hundred five thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 256 434 448 496 868 896 992 1736 1792 1984 3472 3968 6944 7936 13888 27776 51631 55552 103262 206524 361417 413048 722834 826096 1445668 1600561 1652192 2891336 3201122 3304384 5782672 6402244 6608768 11203927 11565344 12804488 13217536 22407854 23130688 25608976 44815708 46261376 51217952 89631416 92522752 102435904 179262832 204871808 358525664 409743616 717051328 1434102656 2868205312