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51482528 = 2517101937
BaseRepresentation
bin1100010001100…
…0111110100000
310120212120202022
43010120332200
5101134420103
65035241012
71163410556
oct304307640
9116776668
1051482528
1127073649
12152a9168
13a887146
146ba1bd6
1547be138
hex3118fa0

51482528 has 48 divisors (see below), whose sum is σ = 108496584. Its totient is φ = 23961600.

The previous prime is 51482527. The next prime is 51482549. The reversal of 51482528 is 82528415.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 48832144 + 2650384 = 6988^2 + 1628^2 .

It is not an unprimeable number, because it can be changed into a prime (51482527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54476 + ... + 55412.

Almost surely, 251482528 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 51482528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54248292).

51482528 is an abundant number, since it is smaller than the sum of its proper divisors (57014056).

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

51482528 is a wasteful number, since it uses less digits than its factorization.

51482528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1057 counting only the distinct ones).

The product of its digits is 25600, while the sum is 35.

The square root of 51482528 is about 7175.1326120149. The cubic root of 51482528 is about 372.0088640120.

The spelling of 51482528 in words is "fifty-one million, four hundred eighty-two thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 68 101 136 202 272 404 544 808 937 1616 1717 1874 3232 3434 3748 6868 7496 13736 14992 15929 27472 29984 31858 54944 63716 94637 127432 189274 254864 378548 509728 757096 1514192 1608829 3028384 3217658 6435316 12870632 25741264 51482528