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2496942 = 2327219149
BaseRepresentation
bin1001100001100110101110
311200212011100
421201212232
51114400232
6125303530
730136500
oct11414656
94625140
102496942
111455a98
12a04ba6
136956a6
1448dd70
15344c7c
hex2619ae

2496942 has 72 divisors (see below), whose sum is σ = 6669000. Its totient is φ = 671328.

The previous prime is 2496937. The next prime is 2496973.

2496942 is nontrivially palindromic in base 10.

2496942 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 (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2496897 and 2496906.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 16684 + ... + 16832.

It is an arithmetic number, because the mean of its divisors is an integer number (92625).

22496942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2496942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3334500).

2496942 is an abundant number, since it is smaller than the sum of its proper divisors (4172058).

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

2496942 is a wasteful number, since it uses less digits than its factorization.

2496942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 180 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 2496942 is about 1580.1715096786. The cubic root of 2496942 is about 135.6655203241.

The spelling of 2496942 in words is "two million, four hundred ninety-six thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 49 57 63 98 114 126 133 147 149 171 266 294 298 342 399 441 447 798 882 894 931 1043 1197 1341 1862 2086 2394 2682 2793 2831 3129 5586 5662 6258 7301 8379 8493 9387 14602 16758 16986 18774 19817 21903 25479 39634 43806 50958 59451 65709 118902 131418 138719 178353 277438 356706 416157 832314 1248471 2496942