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45555040 = 2551012819
BaseRepresentation
bin1010110111000…
…1110101100000
310011201102202201
42231301311200
543130230130
64304222544
71062132346
oct255616540
9104642681
1045555040
11237951a3
121330aa54
13959015b
14609b996
153eecbca
hex2b71d60

45555040 has 48 divisors (see below), whose sum is σ = 108727920. Its totient is φ = 18035200.

The previous prime is 45555023. The next prime is 45555043. The reversal of 45555040 is 4055554.

45555040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45555043) 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, 14751 + ... + 17569.

It is an arithmetic number, because the mean of its divisors is an integer number (2265165).

Almost surely, 245555040 is an apocalyptic number.

45555040 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 45555040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54363960).

45555040 is an abundant number, since it is smaller than the sum of its proper divisors (63172880).

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

45555040 is a wasteful number, since it uses less digits than its factorization.

45555040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2935 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 28.

The square root of 45555040 is about 6749.4473847864. The cubic root of 45555040 is about 357.1457426053.

The spelling of 45555040 in words is "forty-five million, five hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 101 160 202 404 505 808 1010 1616 2020 2819 3232 4040 5638 8080 11276 14095 16160 22552 28190 45104 56380 90208 112760 225520 284719 451040 569438 1138876 1423595 2277752 2847190 4555504 5694380 9111008 11388760 22777520 45555040