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2794806 = 232741541
BaseRepresentation
bin1010101010010100110110
312020222202100
422222110312
51203413211
6135522530
732520060
oct12522466
95228670
102794806
111639863
12b29446
1376b141
1452a730
153a3156
hex2aa536

2794806 has 48 divisors (see below), whose sum is σ = 7102368. Its totient is φ = 777600.

The previous prime is 2794789. The next prime is 2794807. The reversal of 2794806 is 6084972.

2794806 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2794807) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4896 + ... + 5436.

It is an arithmetic number, because the mean of its divisors is an integer number (147966).

22794806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2794806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3551184).

2794806 is an abundant number, since it is smaller than the sum of its proper divisors (4307562).

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

2794806 is a wasteful number, since it uses less digits than its factorization.

2794806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2794806 is about 1671.7673283086. The cubic root of 2794806 is about 140.8587691026.

It can be divided in two parts, 2794 and 806, that added together give a square (3600 = 602).

The spelling of 2794806 in words is "two million, seven hundred ninety-four thousand, eight hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 63 82 123 126 246 287 369 541 574 738 861 1082 1623 1722 2583 3246 3787 4869 5166 7574 9738 11361 22181 22722 34083 44362 66543 68166 133086 155267 199629 310534 399258 465801 931602 1397403 2794806