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40832128 = 27319001
BaseRepresentation
bin1001101111000…
…0110010000000
32211211111011001
42123300302000
540423112003
64015101344
71004032051
oct233606200
984744131
1040832128
1121059867
1211811854
1385c852c
1455cc728
1538b861d
hex26f0c80

40832128 has 16 divisors (see below), whose sum is σ = 81345510. Its totient is φ = 20416000.

The previous prime is 40832093. The next prime is 40832137. The reversal of 40832128 is 82123804.

It can be written as a sum of positive squares in only one way, i.e., 40043584 + 788544 = 6328^2 + 888^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a Smith number, since the sum of its digits (28) 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 = 40832096 and 40832105.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 159373 + ... + 159628.

Almost surely, 240832128 is an apocalyptic number.

It is an amenable number.

40832128 is a deficient number, since it is larger than the sum of its proper divisors (40513382).

40832128 is an equidigital number, since it uses as much as digits as its factorization.

40832128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319015 (or 319003 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 40832128 is about 6390.0021909229. The cubic root of 40832128 is about 344.3504630943.

Subtracting from 40832128 its sum of digits (28), we obtain a square (40832100 = 63902).

The spelling of 40832128 in words is "forty million, eight hundred thirty-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 128 319001 638002 1276004 2552008 5104016 10208032 20416064 40832128