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466805431 = 172937157163
BaseRepresentation
bin11011110100101…
…110001010110111
31012112101011200001
4123310232022313
51424000233211
6114153132131
714365531531
oct3364561267
91175334601
10466805431
1121a554914
121103ba047
1375932041
1445dd4851
152aeacac1
hex1bd2e2b7

466805431 has 32 divisors (see below), whose sum is σ = 531714240. Its totient is φ = 407586816.

The previous prime is 466805413. The next prime is 466805441. The reversal of 466805431 is 134508664.

It is a happy number.

It is a 11-Lehmer number, since φ(466805431) divides (466805431-1)11.

It is a cyclic number.

It is not a de Polignac number, because 466805431 - 225 = 433250999 is a prime.

It is a super-2 number, since 2×4668054312 = 435814620822191522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466805411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2863756 + ... + 2863918.

It is an arithmetic number, because the mean of its divisors is an integer number (16616070).

Almost surely, 2466805431 is an apocalyptic number.

466805431 is a deficient number, since it is larger than the sum of its proper divisors (64908809).

466805431 is a wasteful number, since it uses less digits than its factorization.

466805431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403.

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 466805431 is about 21605.6805261950. The cubic root of 466805431 is about 775.7324638152.

The spelling of 466805431 in words is "four hundred sixty-six million, eight hundred five thousand, four hundred thirty-one".

Divisors: 1 17 29 37 157 163 493 629 1073 2669 2771 4553 4727 5809 6031 18241 25591 77401 80359 98753 102527 168461 174899 435047 742139 946867 2863837 2973283 12616363 16096739 27459143 466805431