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468309416 = 23192167971
BaseRepresentation
bin11011111010011…
…101010110101000
31012122012120202012
4123322131112220
51424341400131
6114245255052
714414364401
oct3372352650
91178176665
10468309416
11220391883
12110a04488
137603a783
14462a69a8
152b1a852b
hex1be9d5a8

468309416 has 48 divisors (see below), whose sum is σ = 933236640. Its totient is φ = 220275360.

The previous prime is 468309349. The next prime is 468309451. The reversal of 468309416 is 614903864.

It is a super-2 number, since 2×4683094162 = 438627418228522112, which contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 481811 + ... + 482781.

It is an arithmetic number, because the mean of its divisors is an integer number (19442430).

Almost surely, 2468309416 is an apocalyptic number.

It is an amenable number.

468309416 is a deficient number, since it is larger than the sum of its proper divisors (464927224).

468309416 is a wasteful number, since it uses less digits than its factorization.

468309416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 468309416 is about 21640.4578509790. The cubic root of 468309416 is about 776.5646729662.

The spelling of 468309416 in words is "four hundred sixty-eight million, three hundred nine thousand, four hundred sixteen".

Divisors: 1 2 4 8 19 38 76 152 167 334 361 668 722 971 1336 1444 1942 2888 3173 3884 6346 7768 12692 18449 25384 36898 60287 73796 120574 147592 162157 241148 324314 350531 482296 648628 701062 1297256 1402124 2804248 3080983 6161966 12323932 24647864 58538677 117077354 234154708 468309416