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45947936 = 251817933
BaseRepresentation
bin1010111101000…
…1110000100000
310012110101201102
42233101300200
543230313221
64320453532
71065356666
oct257216040
9105411642
1045947936
1123a33401
121347a2a8
139699c38
146160c36
15407930b
hex2bd1c20

45947936 has 24 divisors (see below), whose sum is σ = 90971244. Its totient is φ = 22844160.

The previous prime is 45947933. The next prime is 45947953. The reversal of 45947936 is 63974954.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 37210000 + 8737936 = 6100^2 + 2956^2 .

It is a super-2 number, since 2×459479362 = 4222425645320192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45947933) 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 3 ways as a sum of consecutive naturals, for example, 1826 + ... + 9758.

Almost surely, 245947936 is an apocalyptic number.

It is an amenable number.

45947936 is a deficient number, since it is larger than the sum of its proper divisors (45023308).

45947936 is a wasteful number, since it uses less digits than its factorization.

45947936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8124 (or 8116 counting only the distinct ones).

The product of its digits is 816480, while the sum is 47.

The square root of 45947936 is about 6778.4906874613. The cubic root of 45947936 is about 358.1695565012.

The spelling of 45947936 in words is "forty-five million, nine hundred forty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 32 181 362 724 1448 2896 5792 7933 15866 31732 63464 126928 253856 1435873 2871746 5743492 11486984 22973968 45947936