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57412405 = 527741453
BaseRepresentation
bin1101101100000…
…0101100110101
311000000212000101
43123000230311
5104144144110
65410314101
71264666051
oct333005465
9130025011
1057412405
112a453876
1217288931
13bb8224b
1478a6c61
15509113a
hex36c0b35

57412405 has 8 divisors (see below), whose sum is σ = 69145272. Its totient is φ = 45763008.

The previous prime is 57412363. The next prime is 57412441. The reversal of 57412405 is 50421475.

57412405 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 651249 + 56761156 = 807^2 + 7534^2 .

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 57412405 - 225 = 23857973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 in 7 ways as a sum of consecutive naturals, for example, 19342 + ... + 22111.

It is an arithmetic number, because the mean of its divisors is an integer number (8643159).

Almost surely, 257412405 is an apocalyptic number.

It is an amenable number.

57412405 is a deficient number, since it is larger than the sum of its proper divisors (11732867).

57412405 is a wasteful number, since it uses less digits than its factorization.

57412405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41735.

The product of its (nonzero) digits is 5600, while the sum is 28.

The square root of 57412405 is about 7577.0973994004. The cubic root of 57412405 is about 385.7760363282.

The spelling of 57412405 in words is "fifty-seven million, four hundred twelve thousand, four hundred five".

Divisors: 1 5 277 1385 41453 207265 11482481 57412405