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45857344 = 261355117
BaseRepresentation
bin1010111011101…
…1101001000000
310012021210110011
42232323221000
543214413334
64314514304
71064531611
oct256735100
9105253404
1045857344
1123981335
1213435994
139667930
146139c08
15405c564
hex2bbba40

45857344 has 28 divisors (see below), whose sum is σ = 97999804. Its totient is φ = 21164544.

The previous prime is 45857327. The next prime is 45857353. The reversal of 45857344 is 44375854.

45857344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 28217344 + 17640000 = 5312^2 + 4200^2 .

It is a junction number, because it is equal to n+sod(n) for n = 45857297 and 45857306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26727 + ... + 28390.

It is an arithmetic number, because the mean of its divisors is an integer number (3499993).

Almost surely, 245857344 is an apocalyptic number.

It is an amenable number.

45857344 is an abundant number, since it is smaller than the sum of its proper divisors (52142460).

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

45857344 is a wasteful number, since it uses less digits than its factorization.

45857344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55142 (or 55132 counting only the distinct ones).

The product of its digits is 268800, while the sum is 40.

The square root of 45857344 is about 6771.8050769348. The cubic root of 45857344 is about 357.9340098711.

The spelling of 45857344 in words is "forty-five million, eight hundred fifty-seven thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 55117 110234 220468 440936 716521 881872 1433042 1763744 2866084 3527488 5732168 11464336 22928672 45857344