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20538048 = 263412609
BaseRepresentation
bin100111001011…
…0001011000000
31102122102220110
41032112023000
520224204143
62012111320
7336366456
oct116261300
942572813
1020538048
11106585a3
126a65540
1343412bb
142a289d6
151c0a533
hex13962c0

20538048 has 56 divisors (see below), whose sum is σ = 55686960. Its totient is φ = 6676480.

The previous prime is 20538043. The next prime is 20538109. The reversal of 20538048 is 84083502.

It is a super-2 number, since 2×205380482 = 843622831300608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20538043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6568 + ... + 9176.

It is an arithmetic number, because the mean of its divisors is an integer number (994410).

Almost surely, 220538048 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 20538048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27843480).

20538048 is an abundant number, since it is smaller than the sum of its proper divisors (35148912).

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

20538048 is a wasteful number, since it uses less digits than its factorization.

20538048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2665 (or 2655 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 20538048 is about 4531.8923199917. The cubic root of 20538048 is about 273.8543989956.

It can be divided in two parts, 2053 and 8048, that added together give a palindrome (10101).

The spelling of 20538048 in words is "twenty million, five hundred thirty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 328 492 656 984 1312 1968 2609 2624 3936 5218 7827 7872 10436 15654 20872 31308 41744 62616 83488 106969 125232 166976 213938 250464 320907 427876 500928 641814 855752 1283628 1711504 2567256 3423008 5134512 6846016 10269024 20538048