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257173041 = 3387722111
BaseRepresentation
bin11110101010000…
…10011000110001
3122220220202002110
433111002120301
51011314014131
641304035533
76241635426
oct1725023061
9586822073
10257173041
11122192a04
1272162ba9
13413845c8
1426225d4d
151789e646
hexf542631

257173041 has 8 divisors (see below), whose sum is σ = 343001344. Its totient is φ = 171396720.

The previous prime is 257173039. The next prime is 257173061. The reversal of 257173041 is 140371752.

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

It is not a de Polignac number, because 257173041 - 21 = 257173039 is a prime.

It is a super-2 number, since 2×2571730412 = 132275946034375362, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257173061) 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 in 7 ways as a sum of consecutive naturals, for example, 576 + ... + 22686.

It is an arithmetic number, because the mean of its divisors is an integer number (42875168).

Almost surely, 2257173041 is an apocalyptic number.

It is an amenable number.

257173041 is a deficient number, since it is larger than the sum of its proper divisors (85828303).

257173041 is a wasteful number, since it uses less digits than its factorization.

257173041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25991.

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 257173041 is about 16036.6156342291. The cubic root of 257173041 is about 635.9287799487.

The spelling of 257173041 in words is "two hundred fifty-seven million, one hundred seventy-three thousand, forty-one".

Divisors: 1 3 3877 11631 22111 66333 85724347 257173041