Base | Representation |
---|---|
bin | 11001011010100… |
… | …101111000010100 |
3 | 1002201100102121202 |
4 | 121122211320110 |
5 | 1333124320200 |
6 | 110151132032 |
7 | 13365231323 |
oct | 3132457024 |
9 | 1081312552 |
10 | 426401300 |
11 | 1a9768676 |
12 | ba974018 |
13 | 6a456580 |
14 | 408b80ba |
15 | 2767b1d5 |
hex | 196a5e14 |
426401300 has 72 divisors (see below), whose sum is σ = 1001336952. Its totient is φ = 156672000.
The previous prime is 426401299. The next prime is 426401309. The reversal of 426401300 is 3104624.
It is a happy number.
It can be written as a sum of positive squares in 12 ways, for example, as 210076036 + 216325264 = 14494^2 + 14708^2 .
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (426401309) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 312620 + ... + 313980.
Almost surely, 2426401300 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 426401300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500668476).
426401300 is an abundant number, since it is smaller than the sum of its proper divisors (574935652).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
426401300 is a wasteful number, since it uses less digits than its factorization.
426401300 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1629 (or 1622 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 20.
The square root of 426401300 is about 20649.4866764285. The cubic root of 426401300 is about 752.6727159902.
Adding to 426401300 its reverse (3104624), we get a palindrome (429505924).
The spelling of 426401300 in words is "four hundred twenty-six million, four hundred one thousand, three hundred".
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