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468831132 = 223371156377
BaseRepresentation
bin11011111100011…
…100101110011100
31012200012002102000
4123330130232130
51430010044012
6114304402300
714421666420
oct3374345634
91180162360
10468831132
11220708850
12111016390
1376191093
14463a0b80
152b25cddc
hex1bf1cb9c

468831132 has 96 divisors (see below), whose sum is σ = 1515440640. Its totient is φ = 121772160.

The previous prime is 468831091. The next prime is 468831133. The reversal of 468831132 is 231138864.

468831132 is a `hidden beast` number, since 468 + 83 + 113 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468831133) 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, 19873 + ... + 36504.

It is an arithmetic number, because the mean of its divisors is an integer number (15785840).

Almost surely, 2468831132 is an apocalyptic number.

468831132 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

468831132 is an abundant number, since it is smaller than the sum of its proper divisors (1046609508).

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

468831132 is a wasteful number, since it uses less digits than its factorization.

468831132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56408 (or 56400 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 468831132 is about 21652.5086768254. The cubic root of 468831132 is about 776.8529409675.

Adding to 468831132 its reverse (231138864), we get a palindrome (699969996).

The spelling of 468831132 in words is "four hundred sixty-eight million, eight hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 297 308 378 396 462 594 693 756 924 1188 1386 2079 2772 4158 8316 56377 112754 169131 225508 338262 394639 507393 620147 676524 789278 1014786 1183917 1240294 1522179 1578556 1860441 2029572 2367834 2480588 3044358 3551751 3720882 4341029 4735668 5581323 6088716 7103502 7441764 8682058 10655253 11162646 13023087 14207004 16743969 17364116 21310506 22325292 26046174 33487938 39069261 42621012 52092348 66975876 78138522 117207783 156277044 234415566 468831132