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45387441 = 32112331643
BaseRepresentation
bin1010110100100…
…0111010110001
310011101220212100
42231020322301
543104344231
64300451013
71060533621
oct255107261
9104356770
1045387441
1123690290
1213249a69
139531a98
146056881
153eb81e6
hex2b48eb1

45387441 has 48 divisors (see below), whose sum is σ = 77156352. Its totient is φ = 25423200.

The previous prime is 45387437. The next prime is 45387443. The reversal of 45387441 is 14478354.

45387441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 45387441 - 22 = 45387437 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 45387396 and 45387405.

It is not an unprimeable number, because it can be changed into a prime (45387443) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 70266 + ... + 70908.

It is an arithmetic number, because the mean of its divisors is an integer number (1607424).

Almost surely, 245387441 is an apocalyptic number.

It is an amenable number.

45387441 is a deficient number, since it is larger than the sum of its proper divisors (31768911).

45387441 is a wasteful number, since it uses less digits than its factorization.

45387441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 711 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 45387441 is about 6737.0201869966. The cubic root of 45387441 is about 356.7072194066.

The spelling of 45387441 in words is "forty-five million, three hundred eighty-seven thousand, four hundred forty-one".

Divisors: 1 3 9 11 23 31 33 69 93 99 207 253 279 341 643 713 759 1023 1929 2139 2277 3069 5787 6417 7073 7843 14789 19933 21219 23529 44367 59799 63657 70587 133101 162679 179397 219263 458459 488037 657789 1375377 1464111 1973367 4126131 5043049 15129147 45387441