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5665842 = 2337131153
BaseRepresentation
bin10101100111010000110010
3101122212002000
4111213100302
52422301332
6321234430
766105330
oct25472062
911585060
105665842
11321a916
121a92a16
131234b90
14a76b50
1576db7c
hex567432

5665842 has 64 divisors (see below), whose sum is σ = 15509760. Its totient is φ = 1492992.

The previous prime is 5665837. The next prime is 5665853. The reversal of 5665842 is 2485665.

5665842 is a `hidden beast` number, since 566 + 58 + 42 = 666.

It is an Ulam number.

It is a d-powerful number, because it can be written as 5 + 68 + 68 + 57 + 87 + 44 + 217 .

It is a junction number, because it is equal to n+sod(n) for n = 5665797 and 5665806.

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, 4338 + ... + 5490.

It is an arithmetic number, because the mean of its divisors is an integer number (242340).

Almost surely, 25665842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5665842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7754880).

5665842 is an abundant number, since it is smaller than the sum of its proper divisors (9843918).

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

5665842 is a wasteful number, since it uses less digits than its factorization.

5665842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1178 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 5665842 is about 2380.3029218988. The cubic root of 5665842 is about 178.2740591625.

The spelling of 5665842 in words is "five million, six hundred sixty-five thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 182 189 234 273 351 378 546 702 819 1153 1638 2306 2457 3459 4914 6918 8071 10377 14989 16142 20754 24213 29978 31131 44967 48426 62262 72639 89934 104923 134901 145278 209846 217917 269802 314769 404703 435834 629538 809406 944307 1888614 2832921 5665842