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427194432 = 2633735317
BaseRepresentation
bin11001011101100…
…111100001000000
31002202211201121000
4121131213201000
51333330210212
6110220132000
713405043550
oct3135474100
91082751530
10427194432
111aa15a555
12bb097000
136a673592
1440a43160
15277861dc
hex19767840

427194432 has 112 divisors (see below), whose sum is σ = 1435323520. Its totient is φ = 122052096.

The previous prime is 427194403. The next prime is 427194437. The reversal of 427194432 is 234491724.

427194432 is a `hidden beast` number, since 427 + 194 + 43 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (427194437) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5563 + ... + 29754.

Almost surely, 2427194432 is an apocalyptic number.

427194432 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427194432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717661760).

427194432 is an abundant number, since it is smaller than the sum of its proper divisors (1008129088).

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

427194432 is a wasteful number, since it uses less digits than its factorization.

427194432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35345 (or 35329 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 427194432 is about 20668.6823963213. The cubic root of 427194432 is about 753.1390990789.

The spelling of 427194432 in words is "four hundred twenty-seven million, one hundred ninety-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 35317 70634 105951 141268 211902 247219 282536 317853 423804 494438 565072 635706 741657 847608 953559 988876 1130144 1271412 1483314 1695216 1907118 1977752 2224971 2260288 2542824 2966628 3390432 3814236 3955504 4449942 5085648 5933256 6674913 6780864 7628472 7911008 8899884 10171296 11866512 13349826 15256944 15822016 17799768 20342592 23733024 26699652 30513888 35599536 47466048 53399304 61027776 71199072 106798608 142398144 213597216 427194432