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45756001 is a prime number
BaseRepresentation
bin1010111010001…
…0111001100001
310012002122102201
42232202321201
543203143001
64312413201
71063630264
oct256427141
9105078381
1045756001
1123912185
12133a7201
139630775
146110cdb
15403c501
hex2ba2e61

45756001 has 2 divisors, whose sum is σ = 45756002. Its totient is φ = 45756000.

The previous prime is 45755989. The next prime is 45756017. The reversal of 45756001 is 10065754.

45756001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 43243776 + 2512225 = 6576^2 + 1585^2 .

It is a cyclic number.

It is not a de Polignac number, because 45756001 - 27 = 45755873 is a prime.

It is a super-2 number, since 2×457560012 = 4187223255024002, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (45756071) 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 as a sum of consecutive naturals, namely, 22878000 + 22878001.

It is an arithmetic number, because the mean of its divisors is an integer number (22878001).

Almost surely, 245756001 is an apocalyptic number.

It is an amenable number.

45756001 is a deficient number, since it is larger than the sum of its proper divisors (1).

45756001 is an equidigital number, since it uses as much as digits as its factorization.

45756001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 45756001 is about 6764.3182213731. The cubic root of 45756001 is about 357.6701418438.

The spelling of 45756001 in words is "forty-five million, seven hundred fifty-six thousand, one".