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45370080 = 2532572643
BaseRepresentation
bin1010110100010…
…0101011100000
310011101001001100
42231010223200
543103320310
64300234400
71060432200
oct255045340
9104331040
1045370080
1123679238
121323ba00
139526c02
146050400
153eb2ec0
hex2b44ae0

45370080 has 216 divisors, whose sum is σ = 180383112. Its totient is φ = 10354176.

The previous prime is 45370079. The next prime is 45370121. The reversal of 45370080 is 8007354.

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 35 ways as a sum of consecutive naturals, for example, 70239 + ... + 70881.

It is an arithmetic number, because the mean of its divisors is an integer number (835107).

Almost surely, 245370080 is an apocalyptic number.

45370080 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 45370080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90191556).

45370080 is an abundant number, since it is smaller than the sum of its proper divisors (135013032).

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

45370080 is a wasteful number, since it uses less digits than its factorization.

45370080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 45370080 is about 6735.7315861011. The cubic root of 45370080 is about 356.6617326401.

The spelling of 45370080 in words is "forty-five million, three hundred seventy thousand, eighty".