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45379400 = 23521120627
BaseRepresentation
bin1010110100011…
…0111101001000
310011101111211112
42231012331020
543104120100
64300345452
71060501313
oct255067510
9104344745
1045379400
1123685240
1213245288
13952b221
14605397a
153eb5b35
hex2b46f48

45379400 has 48 divisors (see below), whose sum is σ = 115104240. Its totient is φ = 16500800.

The previous prime is 45379387. The next prime is 45379421. The reversal of 45379400 is 497354.

45379400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 8114 + ... + 12513.

It is an arithmetic number, because the mean of its divisors is an integer number (2398005).

Almost surely, 245379400 is an apocalyptic number.

45379400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45379400 is an abundant number, since it is smaller than the sum of its proper divisors (69724840).

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

45379400 is a wasteful number, since it uses less digits than its factorization.

45379400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20654 (or 20645 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 45379400 is about 6736.4233833690. The cubic root of 45379400 is about 356.6861529905.

The spelling of 45379400 in words is "forty-five million, three hundred seventy-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 20627 41254 82508 103135 165016 206270 226897 412540 453794 515675 825080 907588 1031350 1134485 1815176 2062700 2268970 4125400 4537940 5672425 9075880 11344850 22689700 45379400