Search a number
-
+
51791040 = 2632572367
BaseRepresentation
bin1100010110010…
…0010011000000
310121110020221200
43011210103000
5101224303130
65050021200
71166134200
oct305442300
9117406850
1051791040
1127264414
1215417800
13a9646b2
146c42400
154830760
hex31644c0

51791040 has 252 divisors, whose sum is σ = 207788256. Its totient is φ = 11805696.

The previous prime is 51791029. The next prime is 51791041. The reversal of 51791040 is 4019715.

It is a tau number, because it is divible by the number of its divisors (252).

It is a junction number, because it is equal to n+sod(n) for n = 51790995 and 51791013.

It is not an unprimeable number, because it can be changed into a prime (51791041) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 140937 + ... + 141303.

Almost surely, 251791040 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 51791040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103894128).

51791040 is an abundant number, since it is smaller than the sum of its proper divisors (155997216).

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

51791040 is a wasteful number, since it uses less digits than its factorization.

51791040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 51791040 is about 7196.5991968429. The cubic root of 51791040 is about 372.7504794016.

The spelling of 51791040 in words is "fifty-one million, seven hundred ninety-one thousand, forty".