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45555520 = 265294909
BaseRepresentation
bin1010110111000…
…1111101000000
310011201110102111
42231301331000
543130234040
64304225104
71062133633
oct255617500
9104643374
1045555520
112379559a
121330b194
13959043a
14609bc1a
153eecdea
hex2b71f40

45555520 has 56 divisors (see below), whose sum is σ = 112242600. Its totient is φ = 17590272.

The previous prime is 45555509. The next prime is 45555553. The reversal of 45555520 is 2555554.

45555520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 18181696 + 27373824 = 4264^2 + 5232^2 .

It is a congruent number.

It is an unprimeable number.

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, 6826 + ... + 11734.

Almost surely, 245555520 is an apocalyptic number.

45555520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45555520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56121300).

45555520 is an abundant number, since it is smaller than the sum of its proper divisors (66687080).

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

45555520 is a wasteful number, since it uses less digits than its factorization.

45555520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4955 (or 4945 counting only the distinct ones).

The product of its (nonzero) digits is 25000, while the sum is 31.

The square root of 45555520 is about 6749.4829431594. The cubic root of 45555520 is about 357.1469969806.

The spelling of 45555520 in words is "forty-five million, five hundred fifty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 145 160 232 290 320 464 580 928 1160 1856 2320 4640 4909 9280 9818 19636 24545 39272 49090 78544 98180 142361 157088 196360 284722 314176 392720 569444 711805 785440 1138888 1423610 1570880 2277776 2847220 4555552 5694440 9111104 11388880 22777760 45555520