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45254304 = 2532157133
BaseRepresentation
bin1010110010100…
…0011010100000
310011011011020100
42230220122200
543041114204
64253542400
71056440514
oct254503240
9104134210
1045254304
11235aa257
12131a4a00
1394b62c4
146020144
153e8da39
hex2b286a0

45254304 has 36 divisors (see below), whose sum is σ = 128692746. Its totient is φ = 15084672.

The previous prime is 45254303. The next prime is 45254309. The reversal of 45254304 is 40345254.

It can be written as a sum of positive squares in only one way, i.e., 44355600 + 898704 = 6660^2 + 948^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (45254303) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 78279 + ... + 78854.

Almost surely, 245254304 is an apocalyptic number.

It is an amenable number.

45254304 is an abundant number, since it is smaller than the sum of its proper divisors (83438442).

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

45254304 is a wasteful number, since it uses less digits than its factorization.

45254304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157149 (or 157138 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 45254304 is about 6727.1319297305. The cubic root of 45254304 is about 356.3580960985.

Adding to 45254304 its reverse (40345254), we get a palindrome (85599558).

It can be divided in two parts, 452 and 54304, that added together give a square (54756 = 2342).

The spelling of 45254304 in words is "forty-five million, two hundred fifty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 157133 314266 471399 628532 942798 1257064 1414197 1885596 2514128 2828394 3771192 5028256 5656788 7542384 11313576 15084768 22627152 45254304