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51445000 = 235410289
BaseRepresentation
bin1100010000111…
…1110100001000
310120210200021101
43010033310020
5101132220000
65034351144
71163163265
oct304176410
9116720241
1051445000
1127048432
121528b4b4
13a873039
146b9226c
1547b2e6a
hex310fd08

51445000 has 40 divisors (see below), whose sum is σ = 120547350. Its totient is φ = 20576000.

The previous prime is 51444973. The next prime is 51445019. The reversal of 51445000 is 54415.

It can be written as a sum of positive squares in 5 ways, for example, as 5503716 + 45941284 = 2346^2 + 6778^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 145 + ... + 10144.

Almost surely, 251445000 is an apocalyptic number.

51445000 is a gapful number since it is divisible by the number (50) 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 51445000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60273675).

51445000 is an abundant number, since it is smaller than the sum of its proper divisors (69102350).

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

51445000 is a wasteful number, since it uses less digits than its factorization.

51445000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10315 (or 10296 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 51445000 is about 7172.5169919631. The cubic root of 51445000 is about 371.9184505405.

Adding to 51445000 its reverse (54415), we get a palindrome (51499415).

The spelling of 51445000 in words is "fifty-one million, four hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 10289 20578 41156 51445 82312 102890 205780 257225 411560 514450 1028900 1286125 2057800 2572250 5144500 6430625 10289000 12861250 25722500 51445000