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42381632 = 263172089
BaseRepresentation
bin1010000110101…
…1000101000000
32221202012200002
42201223011000
541322203012
64112215132
71023144416
oct241530500
987665602
1042381632
1121a17a47
121223a4a8
138a1b8b7
1458b32b6
153ac27c2
hex286b140

42381632 has 28 divisors (see below), whose sum is σ = 84406740. Its totient is φ = 21113856.

The previous prime is 42381611. The next prime is 42381637. The reversal of 42381632 is 23618324.

It can be written as a sum of positive squares in 2 ways, for example, as 18800896 + 23580736 = 4336^2 + 4856^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42381595 and 42381604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42381637) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19244 + ... + 21332.

Almost surely, 242381632 is an apocalyptic number.

It is an amenable number.

42381632 is a deficient number, since it is larger than the sum of its proper divisors (42025108).

42381632 is a wasteful number, since it uses less digits than its factorization.

42381632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2418 (or 2408 counting only the distinct ones).

The product of its digits is 6912, while the sum is 29.

The square root of 42381632 is about 6510.1176640672. The cubic root of 42381632 is about 348.6523194358.

Adding to 42381632 its reverse (23618324), we get a palindrome (65999956).

The spelling of 42381632 in words is "forty-two million, three hundred eighty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 317 634 1268 2089 2536 4178 5072 8356 10144 16712 20288 33424 66848 133696 662213 1324426 2648852 5297704 10595408 21190816 42381632