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432083428 = 227233312027
BaseRepresentation
bin11001110000010…
…001000111100100
31010010001010000221
4121300101013210
51341103132203
6110513014124
713464435310
oct3160210744
91103033027
10432083428
11201999747
12100854344
136b69598a
1441556b40
1527deeabd
hex19c111e4

432083428 has 48 divisors (see below), whose sum is σ = 904909824. Its totient is φ = 176505120.

The previous prime is 432083419. The next prime is 432083429. The reversal of 432083428 is 824380234.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 432083393 and 432083402.

It is not an unprimeable number, because it can be changed into a prime (432083429) 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, 212151 + ... + 214177.

It is an arithmetic number, because the mean of its divisors is an integer number (18852288).

Almost surely, 2432083428 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 432083428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452454912).

432083428 is an abundant number, since it is smaller than the sum of its proper divisors (472826396).

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

432083428 is a wasteful number, since it uses less digits than its factorization.

432083428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2392 (or 2390 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The square root of 432083428 is about 20786.6165597001. The cubic root of 432083428 is about 756.0012900886.

The spelling of 432083428 in words is "four hundred thirty-two million, eighty-three thousand, four hundred twenty-eight".

Divisors: 1 2 4 7 14 23 28 46 92 161 322 331 644 662 1324 2027 2317 4054 4634 7613 8108 9268 14189 15226 28378 30452 46621 53291 56756 93242 106582 186484 213164 326347 652694 670937 1305388 1341874 2683748 4696559 9393118 15431551 18786236 30863102 61726204 108020857 216041714 432083428