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45105324 = 223112911783
BaseRepresentation
bin1010110000010…
…0000010101100
310010212120212120
42230010002230
543021332244
64250432540
71055250255
oct254040254
9103776776
1045105324
1123508330
1213132750
139463554
145dc1b2c
153e5e819
hex2b040ac

45105324 has 48 divisors (see below), whose sum is σ = 118782720. Its totient is φ = 13195840.

The previous prime is 45105311. The next prime is 45105337. The reversal of 45105324 is 42350154.

It is an interprime number because it is at equal distance from previous prime (45105311) and next prime (45105337).

It is a junction number, because it is equal to n+sod(n) for n = 45105294 and 45105303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2064 + ... + 9719.

It is an arithmetic number, because the mean of its divisors is an integer number (2474640).

Almost surely, 245105324 is an apocalyptic number.

45105324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

45105324 is an abundant number, since it is smaller than the sum of its proper divisors (73677396).

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

45105324 is a wasteful number, since it uses less digits than its factorization.

45105324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11830 (or 11828 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 45105324 is about 6716.0497317992. The cubic root of 45105324 is about 355.9666151414.

Adding to 45105324 its reverse (42350154), we get a palindrome (87455478).

The spelling of 45105324 in words is "forty-five million, one hundred five thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 638 957 1276 1914 3828 11783 23566 35349 47132 70698 129613 141396 259226 341707 388839 518452 683414 777678 1025121 1366828 1555356 2050242 3758777 4100484 7517554 11276331 15035108 22552662 45105324