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45114320 = 245563929
BaseRepresentation
bin1010110000011…
…0001111010000
310010220001012202
42230012033100
543022124240
64250542332
71055315426
oct254061720
9103801182
1045114320
1123514069
12131379a8
139467684
145dc5116
153e62315
hex2b063d0

45114320 has 20 divisors (see below), whose sum is σ = 104890980. Its totient is φ = 18045696.

The previous prime is 45114301. The next prime is 45114347. The reversal of 45114320 is 2341154.

It can be written as a sum of positive squares in 2 ways, for example, as 7463824 + 37650496 = 2732^2 + 6136^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 45114292 and 45114301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 281885 + ... + 282044.

It is an arithmetic number, because the mean of its divisors is an integer number (5244549).

Almost surely, 245114320 is an apocalyptic number.

45114320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45114320 is an abundant number, since it is smaller than the sum of its proper divisors (59776660).

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

45114320 is a wasteful number, since it uses less digits than its factorization.

45114320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563942 (or 563936 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 45114320 is about 6716.7194373444. The cubic root of 45114320 is about 355.9902787397.

Adding to 45114320 its reverse (2341154), we get a palindrome (47455474).

The spelling of 45114320 in words is "forty-five million, one hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 563929 1127858 2255716 2819645 4511432 5639290 9022864 11278580 22557160 45114320