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945765444 = 2231312747737
BaseRepresentation
bin111000010111110…
…011110001000100
32102220121212021210
4320113303301010
53414103443234
6233503011420
732302605441
oct7027636104
92386555253
10945765444
11445950638
12224899b70
13120c2b530
148d8709c8
155806bbe9
hex385f3c44

945765444 has 48 divisors (see below), whose sum is σ = 2395301888. Its totient is φ = 288707328.

The previous prime is 945765433. The next prime is 945765449. The reversal of 945765444 is 444567549.

It is a happy number.

945765444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×9457654443 (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 945765393 and 945765402.

It is not an unprimeable number, because it can be changed into a prime (945765449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4057 + ... + 43680.

Almost surely, 2945765444 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 945765444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197650944).

945765444 is an abundant number, since it is smaller than the sum of its proper divisors (1449536444).

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

945765444 is a wasteful number, since it uses less digits than its factorization.

945765444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47884 (or 47882 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 48.

The square root of 945765444 is about 30753.2997253953. The cubic root of 945765444 is about 981.5847758459.

The spelling of 945765444 in words is "nine hundred forty-five million, seven hundred sixty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 127 156 254 381 508 762 1524 1651 3302 4953 6604 9906 19812 47737 95474 143211 190948 286422 572844 620581 1241162 1861743 2482324 3723486 6062599 7446972 12125198 18187797 24250396 36375594 72751188 78813787 157627574 236441361 315255148 472882722 945765444