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45297000 = 2332537719
BaseRepresentation
bin1010110011001…
…0110101101000
310011020022210200
42230302311220
543044001000
64254512200
71060006140
oct254626550
9104208720
1045297000
1123629341
1213205660
1394cc878
146031920
153e9b500
hex2b32d68

45297000 has 192 divisors, whose sum is σ = 175219200. Its totient is φ = 10339200.

The previous prime is 45296989. The next prime is 45297041. The reversal of 45297000 is 79254.

45297000 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 47 ways as a sum of consecutive naturals, for example, 62641 + ... + 63359.

It is an arithmetic number, because the mean of its divisors is an integer number (912600).

Almost surely, 245297000 is an apocalyptic number.

45297000 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 45297000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87609600).

45297000 is an abundant number, since it is smaller than the sum of its proper divisors (129922200).

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

45297000 is a wasteful number, since it uses less digits than its factorization.

45297000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 45297000 is about 6730.3045993476. The cubic root of 45297000 is about 356.4701317243.

The spelling of 45297000 in words is "forty-five million, two hundred ninety-seven thousand".