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45413600 = 255256767
BaseRepresentation
bin1010110100111…
…1010011100000
310011110020202012
42231033103200
543111213400
64301212052
71061003111
oct255172340
9104406665
1045413600
11236a8a01
1213261028
13954096b
146062208
153ec0d35
hex2b4f4e0

45413600 has 36 divisors (see below), whose sum is σ = 110867904. Its totient is φ = 18165120.

The previous prime is 45413587. The next prime is 45413603. The reversal of 45413600 is 631454.

It is a happy number.

45413600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45413603) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 27584 + ... + 29183.

It is an arithmetic number, because the mean of its divisors is an integer number (3079664).

Almost surely, 245413600 is an apocalyptic number.

45413600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45413600 is an abundant number, since it is smaller than the sum of its proper divisors (65454304).

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

45413600 is a wasteful number, since it uses less digits than its factorization.

45413600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56787 (or 56774 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 45413600 is about 6738.9613443023. The cubic root of 45413600 is about 356.7757355120.

The spelling of 45413600 in words is "forty-five million, four hundred thirteen thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 56767 113534 227068 283835 454136 567670 908272 1135340 1419175 1816544 2270680 2838350 4541360 5676700 9082720 11353400 22706800 45413600