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45270800 = 2452113177
BaseRepresentation
bin1010110010110…
…0011100010000
310011011222212022
42230230130100
543042131200
64254151012
71056536561
oct254543420
9104158768
1045270800
1123610693
12131b2468
1394c0973
146026168
153e93885
hex2b2c710

45270800 has 30 divisors (see below), whose sum is σ = 108764058. Its totient is φ = 18108160.

The previous prime is 45270791. The next prime is 45270809. The reversal of 45270800 is 807254.

It is an interprime number because it is at equal distance from previous prime (45270791) and next prime (45270809).

It can be written as a sum of positive squares in 3 ways, for example, as 327184 + 44943616 = 572^2 + 6704^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 45270800.

It is not an unprimeable number, because it can be changed into a prime (45270809) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 56189 + ... + 56988.

Almost surely, 245270800 is an apocalyptic number.

45270800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45270800 is an abundant number, since it is smaller than the sum of its proper divisors (63493258).

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

45270800 is a wasteful number, since it uses less digits than its factorization.

45270800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113195 (or 113184 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 45270800 is about 6728.3578977340. The cubic root of 45270800 is about 356.4013904633.

The spelling of 45270800 in words is "forty-five million, two hundred seventy thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 113177 226354 452708 565885 905416 1131770 1810832 2263540 2829425 4527080 5658850 9054160 11317700 22635400 45270800