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2776242 = 23731971
BaseRepresentation
bin1010100101110010110010
312020001021210
422211302302
51202314432
6135300550
732412000
oct12456262
95201253
102776242
111626917
12b1a756
13762861
14523a70
1539c8cc
hex2a5cb2

2776242 has 64 divisors (see below), whose sum is σ = 6912000. Its totient is φ = 740880.

The previous prime is 2776217. The next prime is 2776259. The reversal of 2776242 is 2426772.

2776242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 215 + 76 + 76 + 67 + 217 + 42 + 221 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39067 + ... + 39137.

It is an arithmetic number, because the mean of its divisors is an integer number (108000).

22776242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2776242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3456000).

2776242 is an abundant number, since it is smaller than the sum of its proper divisors (4135758).

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

2776242 is a wasteful number, since it uses less digits than its factorization.

2776242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 102 counting only the distinct ones).

The product of its digits is 9408, while the sum is 30.

The square root of 2776242 is about 1666.2058696332. The cubic root of 2776242 is about 140.5461996049.

The spelling of 2776242 in words is "two million, seven hundred seventy-six thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 71 98 114 133 142 147 213 266 294 343 399 426 497 686 798 931 994 1029 1349 1491 1862 2058 2698 2793 2982 3479 4047 5586 6517 6958 8094 9443 10437 13034 18886 19551 20874 24353 28329 39102 48706 56658 66101 73059 132202 146118 198303 396606 462707 925414 1388121 2776242