Search a number
-
+
2555766 = 233194753
BaseRepresentation
bin1001101111111101110110
311210211212000
421233331312
51123241031
6130440130
730503133
oct11577566
94724760
102555766
111496204
12a33046
136b63b5
144a758a
153573e6
hex26ff76

2555766 has 64 divisors (see below), whose sum is σ = 6220800. Its totient is φ = 775008.

The previous prime is 2555753. The next prime is 2555767. The reversal of 2555766 is 6675552.

It is a self number, because there is not a number n which added to its sum of digits gives 2555766.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2555767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48196 + ... + 48248.

It is an arithmetic number, because the mean of its divisors is an integer number (97200).

22555766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2555766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3110400).

2555766 is an abundant number, since it is smaller than the sum of its proper divisors (3665034).

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

2555766 is a wasteful number, since it uses less digits than its factorization.

2555766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 124 counting only the distinct ones).

The product of its digits is 63000, while the sum is 36.

The square root of 2555766 is about 1598.6763274659. The cubic root of 2555766 is about 136.7226170542.

It can be divided in two parts, 2555 and 766, that added together give a triangular number (3321 = T81).

The spelling of 2555766 in words is "two million, five hundred fifty-five thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 9 18 19 27 38 47 53 54 57 94 106 114 141 159 171 282 318 342 423 477 513 846 893 954 1007 1026 1269 1431 1786 2014 2491 2538 2679 2862 3021 4982 5358 6042 7473 8037 9063 14946 16074 18126 22419 24111 27189 44838 47329 48222 54378 67257 94658 134514 141987 283974 425961 851922 1277883 2555766