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463876842 = 231113577937
BaseRepresentation
bin11011101001100…
…011001011101010
31012022212101101210
4123221203023222
51422223024332
6114010253550
714331613422
oct3351431352
91168771353
10463876842
112189345a0
1210b4272b6
1375148050
1445871482
152aaceecc
hex1ba632ea

463876842 has 64 divisors (see below), whose sum is σ = 1093002624. Its totient is φ = 129392640.

The previous prime is 463876823. The next prime is 463876843. The reversal of 463876842 is 248678364.

It is a junction number, because it is equal to n+sod(n) for n = 463876791 and 463876800.

It is not an unprimeable number, because it can be changed into a prime (463876843) 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, 494598 + ... + 495534.

It is an arithmetic number, because the mean of its divisors is an integer number (17078166).

Almost surely, 2463876842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463876842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546501312).

463876842 is an abundant number, since it is smaller than the sum of its proper divisors (629125782).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

463876842 is a wasteful number, since it uses less digits than its factorization.

463876842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1543.

The product of its digits is 1548288, while the sum is 48.

The square root of 463876842 is about 21537.8003055094. The cubic root of 463876842 is about 774.1068264574.

The spelling of 463876842 in words is "four hundred sixty-three million, eight hundred seventy-six thousand, eight hundred forty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 286 429 577 858 937 1154 1731 1874 2811 3462 5622 6347 7501 10307 12181 12694 15002 19041 20614 22503 24362 30921 36543 38082 45006 61842 73086 82511 133991 165022 247533 267982 401973 495066 540649 803946 1081298 1621947 3243894 5947139 7028437 11894278 14056874 17841417 21085311 35682834 42170622 77312807 154625614 231938421 463876842