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57354001 is a prime number
BaseRepresentation
bin1101101011001…
…0011100010001
310222220212220021
43122302130101
5104140312001
65405143441
71264333555
oct332623421
9128825807
1057354001
112a413a01
121725ab81
13bb617a3
14788d865
15507dba1
hex36b2711

57354001 has 2 divisors, whose sum is σ = 57354002. Its totient is φ = 57354000.

The previous prime is 57353993. The next prime is 57354007. The reversal of 57354001 is 10045375.

57354001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57017601 + 336400 = 7551^2 + 580^2 .

It is a cyclic number.

It is not a de Polignac number, because 57354001 - 23 = 57353993 is a prime.

It is not a weakly prime, because it can be changed into another prime (57354007) 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, 28677000 + 28677001.

It is an arithmetic number, because the mean of its divisors is an integer number (28677001).

Almost surely, 257354001 is an apocalyptic number.

It is an amenable number.

57354001 is a deficient number, since it is larger than the sum of its proper divisors (1).

57354001 is an equidigital number, since it uses as much as digits as its factorization.

57354001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 57354001 is about 7573.2424363677. The cubic root of 57354001 is about 385.6451789641.

Adding to 57354001 its reverse (10045375), we get a palindrome (67399376).

The spelling of 57354001 in words is "fifty-seven million, three hundred fifty-four thousand, one".