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433675242 = 2337111371113
BaseRepresentation
bin11001110110010…
…101101111101010
31010020000222121000
4121312111233222
51342010101432
6111011055430
713514115210
oct3166255752
91106028530
10433675242
112028866a0
121012a1576
136bb02390
144184ccb0
152811657c
hex19d95bea

433675242 has 256 divisors, whose sum is σ = 1323786240. Its totient is φ = 101606400.

The previous prime is 433675237. The next prime is 433675267. The reversal of 433675242 is 242576334.

It is a junction number, because it is equal to n+sod(n) for n = 433675197 and 433675206.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3837778 + ... + 3837890.

It is an arithmetic number, because the mean of its divisors is an integer number (5171040).

Almost surely, 2433675242 is an apocalyptic number.

433675242 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 433675242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661893120).

433675242 is an abundant number, since it is smaller than the sum of its proper divisors (890110998).

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

433675242 is a wasteful number, since it uses less digits than its factorization.

433675242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 220 counting only the distinct ones).

The product of its digits is 120960, while the sum is 36.

The square root of 433675242 is about 20824.8707559015. The cubic root of 433675242 is about 756.9285328137.

The spelling of 433675242 in words is "four hundred thirty-three million, six hundred seventy-five thousand, two hundred forty-two".