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45785144 = 2347263463
BaseRepresentation
bin1010111010101…
…0000000111000
310012011010102002
42232222000320
543210111034
64313200132
71064111246
oct256520070
9105133362
1045785144
1123932069
1213400048
139640b02
14611b796
154045e7e
hex2baa038

45785144 has 32 divisors (see below), whose sum is σ = 88197120. Its totient is φ = 22272096.

The previous prime is 45785119. The next prime is 45785149. The reversal of 45785144 is 44158754.

It is a super-2 number, since 2×457851442 = 4192558822201472, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45785098 and 45785107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45785149) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 98657 + ... + 99119.

It is an arithmetic number, because the mean of its divisors is an integer number (2756160).

Almost surely, 245785144 is an apocalyptic number.

It is an amenable number.

45785144 is a deficient number, since it is larger than the sum of its proper divisors (42411976).

45785144 is a wasteful number, since it uses less digits than its factorization.

45785144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 775 counting only the distinct ones).

The product of its digits is 89600, while the sum is 38.

The square root of 45785144 is about 6766.4720497465. The cubic root of 45785144 is about 357.7460617122.

The spelling of 45785144 in words is "forty-five million, seven hundred eighty-five thousand, one hundred forty-four".

Divisors: 1 2 4 8 47 94 188 263 376 463 526 926 1052 1852 2104 3704 12361 21761 24722 43522 49444 87044 98888 121769 174088 243538 487076 974152 5723143 11446286 22892572 45785144