Search a number
-
+
2766004388 = 2273114872143
BaseRepresentation
bin1010010011011101…
…1110000010100100
321010202201120200222
42210313132002210
521131044120023
61134245023512
7125354435510
oct24467360244
97122646628
102766004388
11119a379044
126523b4b98
133510866b4
141c34d5140
15112c71cc8
hexa4dde0a4

2766004388 has 48 divisors (see below), whose sum is σ = 5716967424. Its totient is φ = 1145884320.

The previous prime is 2766004337. The next prime is 2766004411. The reversal of 2766004388 is 8834006672.

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, 1289645 + ... + 1291787.

It is an arithmetic number, because the mean of its divisors is an integer number (119103488).

Almost surely, 22766004388 is an apocalyptic number.

2766004388 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2766004388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2858483712).

2766004388 is an abundant number, since it is smaller than the sum of its proper divisors (2950963036).

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

2766004388 is a wasteful number, since it uses less digits than its factorization.

2766004388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3672 (or 3670 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The square root of 2766004388 is about 52592.8168859589. The cubic root of 2766004388 is about 1403.7322840550.

The spelling of 2766004388 in words is "two billion, seven hundred sixty-six million, four thousand, three hundred eighty-eight".

Divisors: 1 2 4 7 14 28 31 62 124 217 434 868 1487 2143 2974 4286 5948 8572 10409 15001 20818 30002 41636 46097 60004 66433 92194 132866 184388 265732 322679 465031 645358 930062 1290716 1860124 3186641 6373282 12746564 22306487 44612974 89225948 98785871 197571742 395143484 691501097 1383002194 2766004388