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456526045 = 5663713757
BaseRepresentation
bin11011001101100…
…000100011011101
31011211000221000001
4123031200203131
51413332313140
6113144534301
714212256503
oct3315404335
91154027001
10456526045
11214773858
12108a81391
1373773271
14448ba673
152a12be9a
hex1b3608dd

456526045 has 8 divisors (see below), whose sum is σ = 547953624. Its totient is φ = 365139264.

The previous prime is 456526043. The next prime is 456526051. The reversal of 456526045 is 540625654.

It can be written as a sum of positive squares in 4 ways, for example, as 39917124 + 416608921 = 6318^2 + 20411^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 456526045 - 21 = 456526043 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 456525995 and 456526013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456526043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26307 + ... + 40063.

It is an arithmetic number, because the mean of its divisors is an integer number (68494203).

Almost surely, 2456526045 is an apocalyptic number.

It is an amenable number.

456526045 is a deficient number, since it is larger than the sum of its proper divisors (91427579).

456526045 is a wasteful number, since it uses less digits than its factorization.

456526045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20399.

The product of its (nonzero) digits is 144000, while the sum is 37.

The square root of 456526045 is about 21366.4701109004. The cubic root of 456526045 is about 769.9960898210.

The spelling of 456526045 in words is "four hundred fifty-six million, five hundred twenty-six thousand, forty-five".

Divisors: 1 5 6637 13757 33185 68785 91305209 456526045