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426865950 = 2365272239
BaseRepresentation
bin11001011100010…
…111010100011110
31002202020001000000
4121130113110132
51333234202300
6110205115130
713402205100
oct3134272436
91082201000
10426865950
111a9a55785
12bab58aa6
136a589c04
1440999570
152771dc00
hex1971751e

426865950 has 252 divisors, whose sum is σ = 1390558320. Its totient is φ = 97161120.

The previous prime is 426865889. The next prime is 426865963. The reversal of 426865950 is 59568624.

It is a super-3 number, since 3×4268659503 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 426865896 and 426865905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 1785931 + ... + 1786169.

Almost surely, 2426865950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426865950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695279160).

426865950 is an abundant number, since it is smaller than the sum of its proper divisors (963692370).

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

426865950 is a wasteful number, since it uses less digits than its factorization.

426865950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 426865950 is about 20660.7344980763. The cubic root of 426865950 is about 752.9460128593.

The spelling of 426865950 in words is "four hundred twenty-six million, eight hundred sixty-five thousand, nine hundred fifty".