Search a number
-
+
2082762 = 2321167157
BaseRepresentation
bin111111100011111001010
310220211000100
413330133022
51013122022
6112350230
723463123
oct7743712
93824010
102082762
1111a28a0
12845376
1357c006
143c304a
152b21ac
hex1fc7ca

2082762 has 48 divisors (see below), whose sum is σ = 5028192. Its totient is φ = 617760.

The previous prime is 2082757. The next prime is 2082779. The reversal of 2082762 is 2672802.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13188 + ... + 13344.

It is an arithmetic number, because the mean of its divisors is an integer number (104754).

22082762 is an apocalyptic number.

2082762 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2082762, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2514096).

2082762 is an abundant number, since it is smaller than the sum of its proper divisors (2945430).

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

2082762 is a wasteful number, since it uses less digits than its factorization.

2082762 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2082762 is about 1443.1777437308. The cubic root of 2082762 is about 127.7065625149.

The spelling of 2082762 in words is "two million, eighty-two thousand, seven hundred sixty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 67 99 134 157 198 201 314 402 471 603 737 942 1206 1413 1474 1727 2211 2826 3454 4422 5181 6633 10362 10519 13266 15543 21038 31086 31557 63114 94671 115709 189342 231418 347127 694254 1041381 2082762