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463254132 = 2231123532879
BaseRepresentation
bin11011100111001…
…011001001110100
31012021200202012110
4123213023021310
51422043113012
6113545051020
714323411065
oct3347131164
91167622173
10463254132
11218549760
1210b186a70
1374c8a793
144574c56c
152aa0a73c
hex1b9cb274

463254132 has 96 divisors (see below), whose sum is σ = 1254113280. Its totient is φ = 131697280.

The previous prime is 463254119. The next prime is 463254133. The reversal of 463254132 is 231452364.

It is a self number, because there is not a number n which added to its sum of digits gives 463254132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463254133) 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, 159469 + ... + 162347.

It is an arithmetic number, because the mean of its divisors is an integer number (13063680).

Almost surely, 2463254132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463254132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627056640).

463254132 is an abundant number, since it is smaller than the sum of its proper divisors (790859148).

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

463254132 is a wasteful number, since it uses less digits than its factorization.

463254132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2973 (or 2971 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

The square root of 463254132 is about 21523.3392390679. The cubic root of 463254132 is about 773.7602833821.

The spelling of 463254132 in words is "four hundred sixty-three million, two hundred fifty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 53 66 69 92 106 132 138 159 212 253 276 318 506 583 636 759 1012 1166 1219 1518 1749 2332 2438 2879 3036 3498 3657 4876 5758 6996 7314 8637 11516 13409 14628 17274 26818 31669 34548 40227 53636 63338 66217 80454 95007 126676 132434 152587 160908 190014 198651 264868 305174 380028 397302 457761 610348 728387 794604 915522 1456774 1678457 1831044 2185161 2913548 3356914 3509501 4370322 5035371 6713828 7019002 8740644 10070742 10528503 14038004 20141484 21057006 38604511 42114012 77209022 115813533 154418044 231627066 463254132