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20275808 = 257267193
BaseRepresentation
bin100110101011…
…0001001100000
31102011010011212
41031112021200
520142311213
62002325252
7334225100
oct115261140
942133155
1020275808
1110499573
126959828
13427bb27
14299b200
151ba79a8
hex1356260

20275808 has 72 divisors (see below), whose sum is σ = 47372472. Its totient is φ = 8515584.

The previous prime is 20275807. The next prime is 20275817. The reversal of 20275808 is 80857202.

It is a super-2 number, since 2×202758082 = 822216780105728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20275807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104960 + ... + 105152.

It is an arithmetic number, because the mean of its divisors is an integer number (657951).

Almost surely, 220275808 is an apocalyptic number.

20275808 is a gapful number since it is divisible by the number (28) 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 20275808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23686236).

20275808 is an abundant number, since it is smaller than the sum of its proper divisors (27096664).

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

20275808 is a wasteful number, since it uses less digits than its factorization.

20275808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 20275808 is about 4502.8666424845. The cubic root of 20275808 is about 272.6838329736.

The spelling of 20275808 in words is "twenty million, two hundred seventy-five thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 67 98 112 134 193 196 224 268 386 392 469 536 772 784 938 1072 1351 1544 1568 1876 2144 2702 3088 3283 3752 5404 6176 6566 7504 9457 10808 12931 13132 15008 18914 21616 25862 26264 37828 43232 51724 52528 75656 90517 103448 105056 151312 181034 206896 302624 362068 413792 633619 724136 1267238 1448272 2534476 2896544 5068952 10137904 20275808