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45534768 = 2432633607
BaseRepresentation
bin1010110110110…
…0111000110000
310011200101221220
42231230320300
543124103033
64303545040
71062016266
oct255547060
9104611856
1045534768
1123780a44
12132bb180
139583b66
146094436
153ee6bb3
hex2b6ce30

45534768 has 40 divisors (see below), whose sum is σ = 118111488. Its totient is φ = 15116352.

The previous prime is 45534767. The next prime is 45534787. The reversal of 45534768 is 86743554.

45534768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (45534761) 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 7 ways as a sum of consecutive naturals, for example, 10821 + ... + 14427.

Almost surely, 245534768 is an apocalyptic number.

45534768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45534768 is an abundant number, since it is smaller than the sum of its proper divisors (72576720).

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

45534768 is a wasteful number, since it uses less digits than its factorization.

45534768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3881 (or 3875 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The square root of 45534768 is about 6747.9454651027. The cubic root of 45534768 is about 357.0927581078.

The spelling of 45534768 in words is "forty-five million, five hundred thirty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 263 526 789 1052 1578 2104 3156 3607 4208 6312 7214 10821 12624 14428 21642 28856 43284 57712 86568 173136 948641 1897282 2845923 3794564 5691846 7589128 11383692 15178256 22767384 45534768