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425522304 = 27322291613
BaseRepresentation
bin11001010111001…
…111010010000000
31002122200202212100
4121113033102000
51332413203204
6110120230400
713354610544
oct3127172200
91078622770
10425522304
111a9218229
12ba60b400
136a20945c
1440729a24
1527555a39
hex195cf480

425522304 has 96 divisors (see below), whose sum is σ = 1230594300. Its totient is φ = 141133824.

The previous prime is 425522299. The next prime is 425522323. The reversal of 425522304 is 403225524.

It is a happy number.

425522304 is a `hidden beast` number, since 425 + 5 + 2 + 230 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 382593600 + 42928704 = 19560^2 + 6552^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×4255223043 (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 263002 + ... + 264614.

Almost surely, 2425522304 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 425522304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615297150).

425522304 is an abundant number, since it is smaller than the sum of its proper divisors (805071996).

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

425522304 is a wasteful number, since it uses less digits than its factorization.

425522304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1862 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 425522304 is about 20628.1919711835. The cubic root of 425522304 is about 752.1551664117.

Adding to 425522304 its reverse (403225524), we get a palindrome (828747828).

It can be divided in two parts, 425 and 522304, that added together give a square (522729 = 7232).

The spelling of 425522304 in words is "four hundred twenty-five million, five hundred twenty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 229 288 384 458 576 687 916 1152 1374 1613 1832 2061 2748 3226 3664 4122 4839 5496 6452 7328 8244 9678 10992 12904 14517 14656 16488 19356 21984 25808 29034 29312 32976 38712 43968 51616 58068 65952 77424 87936 103232 116136 131904 154848 206464 232272 263808 309696 369377 464544 619392 738754 929088 1108131 1477508 1858176 2216262 2955016 3324393 4432524 5910032 6648786 8865048 11820064 13297572 17730096 23640128 26595144 35460192 47280256 53190288 70920384 106380576 141840768 212761152 425522304