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425688312 = 23371927019
BaseRepresentation
bin11001010111110…
…111110011111000
31002200000012120210
4121113313303320
51332434011222
6110123551120
713356201540
oct3127676370
91080005523
10425688312
111a9320a25
12ba68b4a0
136a266b9a
1440770320
1527589d0c
hex195f7cf8

425688312 has 96 divisors (see below), whose sum is σ = 1283817600. Its totient is φ = 115207488.

The previous prime is 425688253. The next prime is 425688323. The reversal of 425688312 is 213886524.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57139 + ... + 64157.

It is an arithmetic number, because the mean of its divisors is an integer number (13373100).

Almost surely, 2425688312 is an apocalyptic number.

425688312 is a gapful number since it is divisible by the number (42) 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 425688312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641908800).

425688312 is an abundant number, since it is smaller than the sum of its proper divisors (858129288).

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

425688312 is a wasteful number, since it uses less digits than its factorization.

425688312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7073 (or 7050 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 425688312 is about 20632.2153924391. The cubic root of 425688312 is about 752.2529658608.

The spelling of 425688312 in words is "four hundred twenty-five million, six hundred eighty-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 361 399 456 532 722 798 1064 1083 1444 1596 2166 2527 2888 3192 4332 5054 7019 7581 8664 10108 14038 15162 20216 21057 28076 30324 42114 49133 56152 60648 84228 98266 133361 147399 168456 196532 266722 294798 393064 400083 533444 589596 800166 933527 1066888 1179192 1600332 1867054 2533859 2800581 3200664 3734108 5067718 5601162 7468216 7601577 10135436 11202324 15203154 17737013 20270872 22404648 30406308 35474026 53211039 60812616 70948052 106422078 141896104 212844156 425688312