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45550320 = 2435533581
BaseRepresentation
bin1010110111000…
…0101011110000
310011201012021220
42231300223300
543130102240
64304145040
71062112524
oct255605360
9104635256
1045550320
11237916a2
1213308180
13958ac6a
146099d84
153eeb5d0
hex2b70af0

45550320 has 80 divisors (see below), whose sum is σ = 143910432. Its totient is φ = 11914240.

The previous prime is 45550313. The next prime is 45550339. The reversal of 45550320 is 2305554.

45550320 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 10930 + ... + 14510.

Almost surely, 245550320 is an apocalyptic number.

45550320 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 45550320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71955216).

45550320 is an abundant number, since it is smaller than the sum of its proper divisors (98360112).

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

45550320 is a wasteful number, since it uses less digits than its factorization.

45550320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3650 (or 3644 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 45550320 is about 6749.0977174731. The cubic root of 45550320 is about 357.1334074452.

Adding to 45550320 its reverse (2305554), we get a palindrome (47855874).

The spelling of 45550320 in words is "forty-five million, five hundred fifty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 212 240 265 318 424 530 636 795 848 1060 1272 1590 2120 2544 3180 3581 4240 6360 7162 10743 12720 14324 17905 21486 28648 35810 42972 53715 57296 71620 85944 107430 143240 171888 189793 214860 286480 379586 429720 569379 759172 859440 948965 1138758 1518344 1897930 2277516 2846895 3036688 3795860 4555032 5693790 7591720 9110064 11387580 15183440 22775160 45550320