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45329481 = 322329521
BaseRepresentation
bin1010110011101…
…0110001001001
310011021222100200
42230322301021
543101020411
64255322413
71060202631
oct254726111
9104258320
1045329481
112365078a
1213220409
1395115a2
14603d6c1
153ea5e56
hex2b3ac49

45329481 has 18 divisors (see below), whose sum is σ = 68453658. Its totient is φ = 28902720.

The previous prime is 45329461. The next prime is 45329519. The reversal of 45329481 is 18492354.

45329481 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

45329481 is a nontrivial binomial coefficient, being equal to C(9522, 2).

It can be written as a sum of positive squares in only one way, i.e., 37711881 + 7617600 = 6141^2 + 2760^2 .

It is not a de Polignac number, because 45329481 - 210 = 45328457 is a prime.

It is a super-2 number, since 2×453294812 = 4109523695458722, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45329411) 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 17 ways as a sum of consecutive naturals, for example, 1 + ... + 9521.

It is an arithmetic number, because the mean of its divisors is an integer number (3802981).

Almost surely, 245329481 is an apocalyptic number.

45329481 is the 9521-st triangular number and also the 4761-st hexagonal number.

It is an amenable number.

45329481 is a deficient number, since it is larger than the sum of its proper divisors (23124177).

45329481 is a wasteful number, since it uses less digits than its factorization.

45329481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9573 (or 9547 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 45329481 is about 6732.7172077847. The cubic root of 45329481 is about 356.5553157315. Note that the first 3 decimals are identical.

The spelling of 45329481 in words is "forty-five million, three hundred twenty-nine thousand, four hundred eighty-one".

Divisors: 1 3 9 23 69 207 529 1587 4761 9521 28563 85689 218983 656949 1970847 5036609 15109827 45329481