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426369636 = 223371125979
BaseRepresentation
bin11001011010011…
…110001001100100
31002201021211012000
4121122132021210
51333122312021
6110150325300
713365040110
oct3132361144
91081254160
10426369636
111a9746900
12ba959830
136a445034
14408aa740
1527671b26
hex1969e264

426369636 has 288 divisors, whose sum is σ = 1430016000. Its totient is φ = 107490240.

The previous prime is 426369569. The next prime is 426369637. The reversal of 426369636 is 636963624.

It is a happy number.

426369636 is a `hidden beast` number, since 4 + 2 + 6 + 3 + 6 + 9 + 636 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 426369591 and 426369600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426369637) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5397045 + ... + 5397123.

Almost surely, 2426369636 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 426369636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715008000).

426369636 is an abundant number, since it is smaller than the sum of its proper divisors (1003646364).

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

426369636 is a wasteful number, since it uses less digits than its factorization.

426369636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 161 counting only the distinct ones).

The product of its digits is 839808, while the sum is 45.

The square root of 426369636 is about 20648.7199603268. The cubic root of 426369636 is about 752.6540847002.

The spelling of 426369636 in words is "four hundred twenty-six million, three hundred sixty-nine thousand, six hundred thirty-six".