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5827696 = 24761853
BaseRepresentation
bin10110001110110001110000
3101222002002121
4112032301300
52442441241
6324524024
7100351240
oct26166160
911862077
105827696
113320486
121b50614
131290754
14ab9b20
157a1ad1
hex58ec70

5827696 has 40 divisors (see below), whose sum is σ = 13131104. Its totient is φ = 2453760.

The previous prime is 5827691. The next prime is 5827697. The reversal of 5827696 is 6967285.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5827691) 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 7 ways as a sum of consecutive naturals, for example, 6406 + ... + 7258.

Almost surely, 25827696 is an apocalyptic number.

5827696 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5827696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6565552).

5827696 is an abundant number, since it is smaller than the sum of its proper divisors (7303408).

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

5827696 is a wasteful number, since it uses less digits than its factorization.

5827696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 923 counting only the distinct ones).

The product of its digits is 181440, while the sum is 43.

The square root of 5827696 is about 2414.0621367314. The cubic root of 5827696 is about 179.9557092673.

The spelling of 5827696 in words is "five million, eight hundred twenty-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 56 61 112 122 244 427 488 853 854 976 1706 1708 3412 3416 5971 6824 6832 11942 13648 23884 47768 52033 95536 104066 208132 364231 416264 728462 832528 1456924 2913848 5827696