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425533824 = 273513681
BaseRepresentation
bin11001010111010…
…010000110000000
31002122201100200000
4121113102012000
51332414040244
6110120400000
713354656252
oct3127220600
91078640600
10425533824
111a9225951
12ba616000
136a211781
144072dcd2
1527559169
hex195d2180

425533824 has 96 divisors (see below), whose sum is σ = 1269963240. Its totient is φ = 141834240.

The previous prime is 425533789. The next prime is 425533847. The reversal of 425533824 is 428335524.

425533824 is a `hidden beast` number, since 42 + 5 + 533 + 82 + 4 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24264 + ... + 37944.

Almost surely, 2425533824 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 425533824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634981620).

425533824 is an abundant number, since it is smaller than the sum of its proper divisors (844429416).

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

425533824 is an equidigital number, since it uses as much as digits as its factorization.

425533824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13710 (or 13686 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 425533824 is about 20628.4711988068. The cubic root of 425533824 is about 752.1619539520.

The spelling of 425533824 in words is "four hundred twenty-five million, five hundred thirty-three thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 864 972 1152 1296 1728 1944 2592 3456 3888 5184 7776 10368 13681 15552 27362 31104 41043 54724 82086 109448 123129 164172 218896 246258 328344 369387 437792 492516 656688 738774 875584 985032 1108161 1313376 1477548 1751168 1970064 2216322 2626752 2955096 3324483 3940128 4432644 5253504 5910192 6648966 7880256 8865288 11820384 13297932 15760512 17730576 23640768 26595864 35461152 47281536 53191728 70922304 106383456 141844608 212766912 425533824