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45540576 = 253352709
BaseRepresentation
bin1010110110111…
…0010011100000
310011200200221000
42231232103200
543124244301
64304032000
71062042234
oct255562340
9104620830
1045540576
1123785344
1213302600
1395866b3
1460965c4
153ee8786
hex2b6e4e0

45540576 has 48 divisors (see below), whose sum is σ = 132829200. Its totient is φ = 15179904.

The previous prime is 45540571. The next prime is 45540589. The reversal of 45540576 is 67504554.

It is a happy number.

45540576 is a `hidden beast` number, since 45 + 5 + 40 + 576 = 666.

45540576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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 45540576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45540571) 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, 25491 + ... + 27218.

It is an arithmetic number, because the mean of its divisors is an integer number (2767275).

Almost surely, 245540576 is an apocalyptic number.

It is an amenable number.

45540576 is an abundant number, since it is smaller than the sum of its proper divisors (87288624).

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

45540576 is a wasteful number, since it uses less digits than its factorization.

45540576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52728 (or 52714 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 45540576 is about 6748.3758045918. The cubic root of 45540576 is about 357.1079399616.

The spelling of 45540576 in words is "forty-five million, five hundred forty thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 52709 105418 158127 210836 316254 421672 474381 632508 843344 948762 1265016 1423143 1686688 1897524 2530032 2846286 3795048 5060064 5692572 7590096 11385144 15180192 22770288 45540576