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1468496232 = 2332710632741
BaseRepresentation
bin101011110000111…
…0111100101101000
310210100020100010100
41113201313211220
511001413334412
6401414545400
751251004060
oct12741674550
93710210110
101468496232
11693a22a55
1234b968260
131a53119a8
14dd0623a0
1588dc4edc
hex57877968

1468496232 has 96 divisors (see below), whose sum is σ = 4551281280. Its totient is φ = 419022720.

The previous prime is 1468496231. The next prime is 1468496233. The reversal of 1468496232 is 2326948641.

1468496232 is a `hidden beast` number, since 14 + 6 + 8 + 4 + 9 + 623 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1468496231) and next prime (1468496233).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1468496231) 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 23 ways as a sum of consecutive naturals, for example, 534382 + ... + 537122.

It is an arithmetic number, because the mean of its divisors is an integer number (47409180).

Almost surely, 21468496232 is an apocalyptic number.

1468496232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1468496232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2275640640).

1468496232 is an abundant number, since it is smaller than the sum of its proper divisors (3082785048).

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

1468496232 is a wasteful number, since it uses less digits than its factorization.

1468496232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3823 (or 3816 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 1468496232 is about 38320.9633490600. The cubic root of 1468496232 is about 1136.6435159910.

The spelling of 1468496232 in words is "one billion, four hundred sixty-eight million, four hundred ninety-six thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 1063 2126 2741 3189 4252 5482 6378 7441 8223 8504 9567 10964 12756 14882 16446 19134 19187 21928 22323 24669 25512 29764 32892 38268 38374 44646 49338 57561 59528 65784 66969 76536 76748 89292 98676 115122 133938 153496 172683 178584 197352 230244 267876 345366 460488 535752 690732 1381464 2913683 5827366 8741049 11654732 17482098 20395781 23309464 26223147 34964196 40791562 52446294 61187343 69928392 81583124 104892588 122374686 163166248 183562029 209785176 244749372 367124058 489498744 734248116 1468496232