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20523438 = 23213229383
BaseRepresentation
bin100111001001…
…0100110101110
31102121200212100
41032102212232
520223222223
62011515530
7336306045
oct116224656
942550770
1020523438
1110648621
126a58ba6
134337760
142a2355c
151c06043
hex13929ae

20523438 has 48 divisors (see below), whose sum is σ = 48222720. Its totient is φ = 6270912.

The previous prime is 20523431. The next prime is 20523449. The reversal of 20523438 is 83432502.

20523438 is a `hidden beast` number, since 205 + 23 + 438 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20523431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53395 + ... + 53777.

It is an arithmetic number, because the mean of its divisors is an integer number (1004640).

Almost surely, 220523438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20523438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24111360).

20523438 is an abundant number, since it is smaller than the sum of its proper divisors (27699282).

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

20523438 is a wasteful number, since it uses less digits than its factorization.

20523438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 20523438 is about 4530.2801237893. The cubic root of 20523438 is about 273.7894469958.

The spelling of 20523438 in words is "twenty million, five hundred twenty-three thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 229 234 383 458 687 766 1149 1374 2061 2298 2977 3447 4122 4979 5954 6894 8931 9958 14937 17862 26793 29874 44811 53586 87707 89622 175414 263121 526242 789363 1140191 1578726 2280382 3420573 6841146 10261719 20523438