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45232488 = 23327212821
BaseRepresentation
bin1010110010001…
…1000101101000
310011010001022100
42230203011220
543034414423
64253253400
71056320100
oct254430550
9104101270
1045232488
1123594924
1213194260
1394a93b2
146016200
153e87343
hex2b23168

45232488 has 72 divisors (see below), whose sum is σ = 142516530. Its totient is φ = 12922560.

The previous prime is 45232487. The next prime is 45232507. The reversal of 45232488 is 88423254.

It can be written as a sum of positive squares in only one way, i.e., 44595684 + 636804 = 6678^2 + 798^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (45232487) 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 17 ways as a sum of consecutive naturals, for example, 2883 + ... + 9938.

Almost surely, 245232488 is an apocalyptic number.

It is an amenable number.

45232488 is an abundant number, since it is smaller than the sum of its proper divisors (97284042).

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

45232488 is a wasteful number, since it uses less digits than its factorization.

45232488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12847 (or 12833 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 45232488 is about 6725.5102408665. The cubic root of 45232488 is about 356.3008230354.

The spelling of 45232488 in words is "forty-five million, two hundred thirty-two thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 12821 25642 38463 51284 76926 89747 102568 115389 153852 179494 230778 269241 307704 358988 461556 538482 628229 717976 807723 923112 1076964 1256458 1615446 1884687 2153928 2512916 3230892 3769374 5025832 5654061 6461784 7538748 11308122 15077496 22616244 45232488