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20457472 = 21171427
BaseRepresentation
bin100111000001…
…0100000000000
31102111100101011
41032002200000
520214114342
62010250304
7335612530
oct116024000
942440334
1020457472
1110603002
126a26994
134313719
142a074c0
151be1717
hex1382800

20457472 has 48 divisors (see below), whose sum is σ = 46781280. Its totient is φ = 8761344.

The previous prime is 20457461. The next prime is 20457473. The reversal of 20457472 is 27475402.

It is not an unprimeable number, because it can be changed into a prime (20457473) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13623 + ... + 15049.

It is an arithmetic number, because the mean of its divisors is an integer number (974610).

Almost surely, 220457472 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 20457472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23390640).

20457472 is an abundant number, since it is smaller than the sum of its proper divisors (26323808).

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

20457472 is an equidigital number, since it uses as much as digits as its factorization.

20457472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 31.

The square root of 20457472 is about 4522.9936988680. The cubic root of 20457472 is about 273.4957960734.

The spelling of 20457472 in words is "twenty million, four hundred fifty-seven thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1427 1792 2048 2854 3584 5708 7168 9989 11416 14336 19978 22832 39956 45664 79912 91328 159824 182656 319648 365312 639296 730624 1278592 1461248 2557184 2922496 5114368 10228736 20457472