Search a number
-
+
51826000 = 245325913
BaseRepresentation
bin1100010110110…
…0110101010000
310121112000220111
43011230311100
5101231413000
65050451104
71166341132
oct305546520
9117460814
1051826000
1127288706
1215433a94
13a977595
146c51052
15483acba
hex316cd50

51826000 has 40 divisors (see below), whose sum is σ = 125320104. Its totient is φ = 20729600.

The previous prime is 51825967. The next prime is 51826003. The reversal of 51826000 is 62815.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1245456 + 50580544 = 1116^2 + 7112^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51826003) 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, 10957 + ... + 14956.

Almost surely, 251826000 is an apocalyptic number.

51826000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51826000 is an abundant number, since it is smaller than the sum of its proper divisors (73494104).

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

51826000 is a wasteful number, since it uses less digits than its factorization.

51826000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25936 (or 25920 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 51826000 is about 7199.0277121289. The cubic root of 51826000 is about 372.8343319092.

Adding to 51826000 its reverse (62815), we get a palindrome (51888815).

The spelling of 51826000 in words is "fifty-one million, eight hundred twenty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 25913 51826 103652 129565 207304 259130 414608 518260 647825 1036520 1295650 2073040 2591300 3239125 5182600 6478250 10365200 12956500 25913000 51826000