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45322080 = 253594421
BaseRepresentation
bin1010110011100…
…0111101100000
310011021121012120
42230320331200
543100301310
64255224240
71060142226
oct254707540
9104247176
1045322080
1123646171
1213218080
13950b0cb
14603ab16
153ea3b70
hex2b38f60

45322080 has 48 divisors (see below), whose sum is σ = 142766064. Its totient is φ = 12085760.

The previous prime is 45322073. The next prime is 45322117. The reversal of 45322080 is 8022354.

45322080 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 45322080.

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, 46731 + ... + 47690.

It is an arithmetic number, because the mean of its divisors is an integer number (2974293).

Almost surely, 245322080 is an apocalyptic number.

45322080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45322080 is an abundant number, since it is smaller than the sum of its proper divisors (97443984).

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

45322080 is a wasteful number, since it uses less digits than its factorization.

45322080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94439 (or 94431 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 45322080 is about 6732.1675558471. The cubic root of 45322080 is about 356.5359096007.

The spelling of 45322080 in words is "forty-five million, three hundred twenty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 94421 188842 283263 377684 472105 566526 755368 944210 1133052 1416315 1510736 1888420 2266104 2832630 3021472 3776840 4532208 5665260 7553680 9064416 11330520 15107360 22661040 45322080