Search a number
-
+
2887764 = 22311131167
BaseRepresentation
bin1011000001000001010100
312102201021020
423001001110
51214402024
6141521140
733355065
oct13010124
95381236
102887764
1116a2690
12b731b0
137a1549
1455256c
153c0979
hex2c1054

2887764 has 48 divisors (see below), whose sum is σ = 7451136. Its totient is φ = 863200.

The previous prime is 2887763. The next prime is 2887771. The reversal of 2887764 is 4677882.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2887763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17209 + ... + 17375.

It is an arithmetic number, because the mean of its divisors is an integer number (155232).

22887764 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 2887764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3725568).

2887764 is an abundant number, since it is smaller than the sum of its proper divisors (4563372).

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

2887764 is a wasteful number, since it uses less digits than its factorization.

2887764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 314 counting only the distinct ones).

The product of its digits is 150528, while the sum is 42.

The square root of 2887764 is about 1699.3422256862. The cubic root of 2887764 is about 142.4034680172.

The spelling of 2887764 in words is "two million, eight hundred eighty-seven thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 131 132 167 262 334 393 501 524 668 786 1002 1441 1572 1837 2004 2882 3674 4323 5511 5764 7348 8646 11022 17292 21877 22044 43754 65631 87508 131262 240647 262524 481294 721941 962588 1443882 2887764