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20541952 = 2953757
BaseRepresentation
bin100111001011…
…1001000000000
31102122122021001
41032113020000
520224320302
62012141344
7336414034
oct116271000
942578231
1020541952
1110660522
126a67854
134343002
142a2a1c4
151c0b787
hex1397200

20541952 has 40 divisors (see below), whose sum is σ = 41873436. Its totient is φ = 10063872.

The previous prime is 20541949. The next prime is 20541973. The reversal of 20541952 is 25914502.

It can be written as a sum of positive squares in 2 ways, for example, as 19927296 + 614656 = 4464^2 + 784^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20541952.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26758 + ... + 27514.

Almost surely, 220541952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20541952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20936718).

20541952 is an abundant number, since it is smaller than the sum of its proper divisors (21331484).

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

20541952 is an frugal number, since it uses more digits than its factorization.

20541952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 20541952 is about 4532.3230246751. The cubic root of 20541952 is about 273.8717498791.

The spelling of 20541952 in words is "twenty million, five hundred forty-one thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 512 757 848 1514 1696 3028 3392 6056 6784 12112 13568 24224 27136 40121 48448 80242 96896 160484 193792 320968 387584 641936 1283872 2567744 5135488 10270976 20541952