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51859440 = 2434553151
BaseRepresentation
bin1100010111010…
…0111111110000
310121120201210000
43011310333300
5101234000230
65051310000
71166540463
oct305647760
9117521700
1051859440
1127300846
121544b300
13a989879
146c5d2da
154845b60
hex3174ff0

51859440 has 200 divisors, whose sum is σ = 184729248. Its totient is φ = 13478400.

The previous prime is 51859439. The next prime is 51859441. The reversal of 51859440 is 4495815.

It is an interprime number because it is at equal distance from previous prime (51859439) and next prime (51859441).

It is a super-2 number, since 2×518594402 = 5378803034227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 51859395 and 51859404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51859441) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 343365 + ... + 343515.

Almost surely, 251859440 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 51859440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92364624).

51859440 is an abundant number, since it is smaller than the sum of its proper divisors (132869808).

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

51859440 is a wasteful number, since it uses less digits than its factorization.

51859440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 51859440 is about 7201.3498734612. The cubic root of 51859440 is about 372.9145033772.

The spelling of 51859440 in words is "fifty-one million, eight hundred fifty-nine thousand, four hundred forty".