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20282544 = 2432831697
BaseRepresentation
bin100110101011…
…1110010110000
31102011110102100
41031113302300
520143020134
62002420400
7334253532
oct115276260
942143370
1020282544
11104a3637
126961700
134281c09
14299d852
151ba9999
hex1357cb0

20282544 has 60 divisors (see below), whose sum is σ = 57480696. Its totient is φ = 6675456.

The previous prime is 20282543. The next prime is 20282551. The reversal of 20282544 is 44528202.

It is a happy number.

It is a super-2 number, since 2×202825442 = 822763182223872, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20282543) 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 11 ways as a sum of consecutive naturals, for example, 11104 + ... + 12800.

Almost surely, 220282544 is an apocalyptic number.

20282544 is a gapful number since it is divisible by the number (24) 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 20282544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28740348).

20282544 is an abundant number, since it is smaller than the sum of its proper divisors (37198152).

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

20282544 is a wasteful number, since it uses less digits than its factorization.

20282544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 20282544 is about 4503.6145483378. The cubic root of 20282544 is about 272.7140265082.

The spelling of 20282544 in words is "twenty million, two hundred eighty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 83 144 166 249 332 498 664 747 996 1328 1494 1697 1992 2988 3394 3984 5091 5976 6788 10182 11952 13576 15273 20364 27152 30546 40728 61092 81456 122184 140851 244368 281702 422553 563404 845106 1126808 1267659 1690212 2253616 2535318 3380424 5070636 6760848 10141272 20282544