Search a number
-
+
20552896 = 267133529
BaseRepresentation
bin100111001100…
…1110011000000
31102200012021101
41032121303000
520230143041
62012304144
7336460660
oct116316300
942605241
1020552896
1110668771
126a72054
134347ca0
142a301a0
151c0eb31
hex1399cc0

20552896 has 56 divisors (see below), whose sum is σ = 50210720. Its totient is φ = 8128512.

The previous prime is 20552893. The next prime is 20552899. The reversal of 20552896 is 69825502.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20552893) and next prime (20552899).

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (20552891) 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, 4060 + ... + 7588.

It is an arithmetic number, because the mean of its divisors is an integer number (896620).

Almost surely, 220552896 is an apocalyptic number.

20552896 is a gapful number since it is divisible by the number (26) 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 20552896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25105360).

20552896 is an abundant number, since it is smaller than the sum of its proper divisors (29657824).

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

20552896 is a wasteful number, since it uses less digits than its factorization.

20552896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3561 (or 3551 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The square root of 20552896 is about 4533.5301918042. The cubic root of 20552896 is about 273.9203775252.

The spelling of 20552896 in words is "twenty million, five hundred fifty-two thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1456 2912 3529 5824 7058 14116 24703 28232 45877 49406 56464 91754 98812 112928 183508 197624 225856 321139 367016 395248 642278 734032 790496 1284556 1468064 1580992 2569112 2936128 5138224 10276448 20552896