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463125041 = 2937431617
BaseRepresentation
bin11011100110101…
…011101000110001
31012021110012010022
4123212223220301
51422030000131
6113542213225
714322332531
oct3346535061
91167405108
10463125041
11218470775
1210b124215
1374c43ab2
14457174c1
152a9d237b
hex1b9aba31

463125041 has 8 divisors (see below), whose sum is σ = 492044520. Its totient is φ = 435068928.

The previous prime is 463125031. The next prime is 463125049. The reversal of 463125041 is 140521364.

It can be written as a sum of positive squares in 4 ways, for example, as 240250000 + 222875041 = 15500^2 + 14929^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-463125041 is a prime.

It is a super-3 number, since 3×4631250413 (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 463125041.

It is not an unprimeable number, because it can be changed into a prime (463125049) 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, 214736 + ... + 216881.

It is an arithmetic number, because the mean of its divisors is an integer number (61505565).

Almost surely, 2463125041 is an apocalyptic number.

It is an amenable number.

463125041 is a deficient number, since it is larger than the sum of its proper divisors (28919479).

463125041 is a wasteful number, since it uses less digits than its factorization.

463125041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431683.

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 463125041 is about 21520.3401692445. The cubic root of 463125041 is about 773.6884043555.

The spelling of 463125041 in words is "four hundred sixty-three million, one hundred twenty-five thousand, forty-one".

Divisors: 1 29 37 1073 431617 12516893 15969829 463125041