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45543456 = 25327192941
BaseRepresentation
bin1010110110111…
…1000000100000
310011200211212200
42231233000200
543124342311
64304053200
71062053520
oct255570040
9104624780
1045543456
1123787522
1213304200
139587aba
146097680
153ee9556
hex2b6f020

45543456 has 288 divisors, whose sum is σ = 165110400. Its totient is φ = 11612160.

The previous prime is 45543439. The next prime is 45543469. The reversal of 45543456 is 65434554.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 45543456.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1110796 + ... + 1110836.

It is an arithmetic number, because the mean of its divisors is an integer number (573300).

Almost surely, 245543456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45543456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82555200).

45543456 is an abundant number, since it is smaller than the sum of its proper divisors (119566944).

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

45543456 is a wasteful number, since it uses less digits than its factorization.

45543456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 101 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The square root of 45543456 is about 6748.5891858966. The cubic root of 45543456 is about 357.1154676748.

The spelling of 45543456 in words is "forty-five million, five hundred forty-three thousand, four hundred fifty-six".