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45274320 = 24325713691
BaseRepresentation
bin1010110010110…
…1010011010000
310011012011200200
42230231103100
543042234240
64254215200
71056553050
oct254552320
9104164620
1045274320
11236132a3
12131b4500
1394c2450
146027560
153e94930
hex2b2d4d0

45274320 has 240 divisors, whose sum is σ = 187404672. Its totient is φ = 9538560.

The previous prime is 45274319. The next prime is 45274331. The reversal of 45274320 is 2347254.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65175 + ... + 65865.

Almost surely, 245274320 is an apocalyptic number.

45274320 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 45274320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93702336).

45274320 is an abundant number, since it is smaller than the sum of its proper divisors (142130352).

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

45274320 is a wasteful number, since it uses less digits than its factorization.

45274320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 45274320 is about 6728.6194720760. The cubic root of 45274320 is about 356.4106274724.

The spelling of 45274320 in words is "forty-five million, two hundred seventy-four thousand, three hundred twenty".