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54005625 = 32549601
BaseRepresentation
bin1100111000000…
…0111101111001
310202121202210100
43032000331321
5102311140000
65205310013
71224016542
oct316007571
9122552710
1054005625
1128537253
1216105309
13b25b6bb
14725b4c9
154b1ba00
hex3380f79

54005625 has 30 divisors (see below), whose sum is σ = 97489106. Its totient is φ = 28800000.

The previous prime is 54005621. The next prime is 54005639. The reversal of 54005625 is 52650045.

It can be written as a sum of positive squares in 5 ways, for example, as 13860729 + 40144896 = 3723^2 + 6336^2 .

It is not a de Polignac number, because 54005625 - 22 = 54005621 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54005621) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 825 + ... + 10425.

Almost surely, 254005625 is an apocalyptic number.

It is an amenable number.

54005625 is a deficient number, since it is larger than the sum of its proper divisors (43483481).

54005625 is an equidigital number, since it uses as much as digits as its factorization.

54005625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9627 (or 9609 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 54005625 is about 7348.8519511554. The cubic root of 54005625 is about 377.9894386904.

It can be divided in two parts, 5400 and 5625, that added together give a square (11025 = 1052).

The spelling of 54005625 in words is "fifty-four million, five thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 625 1125 1875 5625 9601 28803 48005 86409 144015 240025 432045 720075 1200125 2160225 3600375 6000625 10801125 18001875 54005625