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45322960 = 245566537
BaseRepresentation
bin1010110011100…
…1001011010000
310011021122102011
42230321023100
543100313320
64255232304
71060144624
oct254711320
9104248364
1045322960
11236468a1
1213218694
13950b627
14603b184
153ea405a
hex2b392d0

45322960 has 20 divisors (see below), whose sum is σ = 105376068. Its totient is φ = 18129152.

The previous prime is 45322951. The next prime is 45322967. The reversal of 45322960 is 6922354.

It can be written as a sum of positive squares in 2 ways, for example, as 16679056 + 28643904 = 4084^2 + 5352^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45322967) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 283189 + ... + 283348.

Almost surely, 245322960 is an apocalyptic number.

45322960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45322960 is an abundant number, since it is smaller than the sum of its proper divisors (60053108).

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

45322960 is a wasteful number, since it uses less digits than its factorization.

45322960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566550 (or 566544 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 45322960 is about 6732.2329133802. The cubic root of 45322960 is about 356.5382171556.

The spelling of 45322960 in words is "forty-five million, three hundred twenty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 566537 1133074 2266148 2832685 4532296 5665370 9064592 11330740 22661480 45322960