Search a number
-
+
433069056 = 2103273137
BaseRepresentation
bin11001110100000…
…001110000000000
31010011220012001200
4121310001300000
51341331202211
6110550101200
713506012000
oct3164016000
91104805050
10433069056
11202502212
1210104a800
136b94c4a4
1441732000
1528046b56
hex19d01c00

433069056 has 264 divisors, whose sum is σ = 1468927200. Its totient is φ = 122830848.

The previous prime is 433069009. The next prime is 433069097. The reversal of 433069056 is 650960334.

It is a super-2 number, since 2×4330690562 = 375097614529462272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 433069056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3161020 + ... + 3161156.

Almost surely, 2433069056 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 433069056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734463600).

433069056 is an abundant number, since it is smaller than the sum of its proper divisors (1035858144).

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

433069056 is a wasteful number, since it uses less digits than its factorization.

433069056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 433069056 is about 20810.3112903195. The cubic root of 433069056 is about 756.5756931862.

The spelling of 433069056 in words is "four hundred thirty-three million, sixty-nine thousand, fifty-six".