Search a number
-
+
2666592 = 253247197
BaseRepresentation
bin1010001011000001100000
312000110212200
422023001200
51140312332
6133053200
731444215
oct12130140
95013780
102666592
1115614a5
12a87200
13724986
144d5b0c
1537a17c
hex28b060

2666592 has 72 divisors (see below), whose sum is σ = 7783776. Its totient is φ = 865536.

The previous prime is 2666591. The next prime is 2666633. The reversal of 2666592 is 2956662.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×26665922 = 14221425788928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2666591) 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 11 ways as a sum of consecutive naturals, for example, 13438 + ... + 13634.

It is an arithmetic number, because the mean of its divisors is an integer number (108108).

22666592 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 2666592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3891888).

2666592 is an abundant number, since it is smaller than the sum of its proper divisors (5117184).

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

2666592 is a wasteful number, since it uses less digits than its factorization.

2666592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 249 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 2666592 is about 1632.9702997912. The cubic root of 2666592 is about 138.6709605837.

The spelling of 2666592 in words is "two million, six hundred sixty-six thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 141 144 188 197 282 288 376 394 423 564 591 752 788 846 1128 1182 1504 1576 1692 1773 2256 2364 3152 3384 3546 4512 4728 6304 6768 7092 9259 9456 13536 14184 18518 18912 27777 28368 37036 55554 56736 74072 83331 111108 148144 166662 222216 296288 333324 444432 666648 888864 1333296 2666592