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466406031 = 371321131163
BaseRepresentation
bin11011110011001…
…100101010001111
31012111121212210110
4123303030222033
51423344443111
6114140411103
714362246230
oct3363145217
91174555713
10466406031
1121a301833
12110246a93
1375822300
1445d2d087
152ae2e5a6
hex1bccca8f

466406031 has 48 divisors (see below), whose sum is σ = 777067776. Its totient is φ = 243629568.

The previous prime is 466406027. The next prime is 466406047. The reversal of 466406031 is 130604664.

It is not a de Polignac number, because 466406031 - 22 = 466406027 is a prime.

It is a super-2 number, since 2×4664060312 = 435069171506345922, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 466406031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466406011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 400456 + ... + 401618.

It is an arithmetic number, because the mean of its divisors is an integer number (16188912).

Almost surely, 2466406031 is an apocalyptic number.

466406031 is a deficient number, since it is larger than the sum of its proper divisors (310661745).

466406031 is a wasteful number, since it uses less digits than its factorization.

466406031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 466406031 is about 21596.4356086832. The cubic root of 466406031 is about 775.5111610835.

The spelling of 466406031 in words is "four hundred sixty-six million, four hundred six thousand, thirty-one".

Divisors: 1 3 7 13 21 39 91 113 169 273 339 507 791 1163 1183 1469 2373 3489 3549 4407 8141 10283 15119 19097 24423 30849 45357 57291 105833 131419 133679 196547 317499 394257 401037 589641 919933 1375829 1708447 2759799 4127487 5125341 11959129 22209811 35877387 66629433 155468677 466406031