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2542806 = 23372312
BaseRepresentation
bin1001101100110011010110
311210012002000
421230303112
51122332211
6130300130
730420300
oct11546326
94705060
102542806
1114874a2
12a27646
136b0526
144a2970
15353656
hex26ccd6

2542806 has 72 divisors (see below), whose sum is σ = 6792120. Its totient is φ = 703080.

The previous prime is 2542759. The next prime is 2542817. The reversal of 2542806 is 6082452.

2542806 is nontrivially palindromic in base 5.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 2542806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 82011 + ... + 82041.

It is an arithmetic number, because the mean of its divisors is an integer number (94335).

22542806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2542806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3396060).

2542806 is an abundant number, since it is smaller than the sum of its proper divisors (4249314).

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

2542806 is a wasteful number, since it uses less digits than its factorization.

2542806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2542806 is about 1594.6178225518. The cubic root of 2542806 is about 136.4911236832.

The spelling of 2542806 in words is "two million, five hundred forty-two thousand, eight hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 49 54 62 63 93 98 126 147 186 189 217 279 294 378 434 441 558 651 837 882 961 1302 1323 1519 1674 1922 1953 2646 2883 3038 3906 4557 5766 5859 6727 8649 9114 11718 13454 13671 17298 20181 25947 27342 40362 41013 47089 51894 60543 82026 94178 121086 141267 181629 282534 363258 423801 847602 1271403 2542806