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859193344 = 2142292
BaseRepresentation
bin110011001101100…
…100000000000000
32012212201112200201
4303031210000000
53224423141334
6221131254544
730202010602
oct6315440000
92185645621
10859193344
11400aa0749
121bb8aa454
13109009939
1482177172
155066ac14
hex33364000

859193344 has 45 divisors (see below), whose sum is σ = 1725870657. Its totient is φ = 427720704.

The previous prime is 859193339. The next prime is 859193369. The reversal of 859193344 is 443391958.

It is a happy number.

The square root of 859193344 is 29312.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 800210944 + 58982400 = 28288^2 + 7680^2 .

It is a Duffinian number.

Its product of digits (466560) is a multiple of the sum of its prime factors (486).

It is a junction number, because it is equal to n+sod(n) for n = 859193294 and 859193303.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 3751822 + ... + 3752050.

Almost surely, 2859193344 is an apocalyptic number.

859193344 is the 29312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 859193344

859193344 is an abundant number, since it is smaller than the sum of its proper divisors (866677313).

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

859193344 is an frugal number, since it uses more digits than its factorization.

859193344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 231 counting only the distinct ones).

The product of its digits is 466560, while the sum is 46.

The cubic root of 859193344 is about 950.6711209781.

The spelling of 859193344 in words is "eight hundred fifty-nine million, one hundred ninety-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 229 256 458 512 916 1024 1832 2048 3664 4096 7328 8192 14656 16384 29312 52441 58624 104882 117248 209764 234496 419528 468992 839056 937984 1678112 1875968 3356224 3751936 6712448 13424896 26849792 53699584 107399168 214798336 429596672 859193344