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51875000 = 235783
BaseRepresentation
bin1100010111100…
…0110010111000
310121121112010022
43011320302320
5101240000000
65051510012
71166634032
oct305706270
9117545108
1051875000
1127311501
1215458308
13a993988
146c64c52
15484a585
hex3178cb8

51875000 has 64 divisors (see below), whose sum is σ = 123046560. Its totient is φ = 20500000.

The previous prime is 51874967. The next prime is 51875003. The reversal of 51875000 is 57815.

51875000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51875003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 624959 + ... + 625041.

Almost surely, 251875000 is an apocalyptic number.

51875000 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 51875000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61523280).

51875000 is an abundant number, since it is smaller than the sum of its proper divisors (71171560).

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

51875000 is an frugal number, since it uses more digits than its factorization.

51875000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 26.

The square root of 51875000 is about 7202.4301454440. The cubic root of 51875000 is about 372.9517962946.

The spelling of 51875000 in words is "fifty-one million, eight hundred seventy-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 83 100 125 166 200 250 332 415 500 625 664 830 1000 1250 1660 2075 2500 3125 3320 4150 5000 6250 8300 10375 12500 15625 16600 20750 25000 31250 41500 51875 62500 78125 83000 103750 125000 156250 207500 259375 312500 415000 518750 625000 1037500 1296875 2075000 2593750 5187500 6484375 10375000 12968750 25937500 51875000