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464284680 = 23359739887
BaseRepresentation
bin11011101011000…
…110110000001000
31012100122002211220
4123223012300020
51422324102210
6114023122040
714335232436
oct3353066010
91170562756
10464284680
11219092a52
1210b5a3320
137525b882
1445939d56
152ab60c70
hex1bac6c08

464284680 has 64 divisors (see below), whose sum is σ = 1407248640. Its totient is φ = 122529792.

The previous prime is 464284669. The next prime is 464284699. The reversal of 464284680 is 86482464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8304 + ... + 31583.

It is an arithmetic number, because the mean of its divisors is an integer number (21988260).

Almost surely, 2464284680 is an apocalyptic number.

464284680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464284680 is an abundant number, since it is smaller than the sum of its proper divisors (942963960).

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

464284680 is a wasteful number, since it uses less digits than its factorization.

464284680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39998 (or 39994 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The square root of 464284680 is about 21547.2661839037. The cubic root of 464284680 is about 774.3336235099. Note that the first 3 decimals are identical.

The spelling of 464284680 in words is "four hundred sixty-four million, two hundred eighty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 97 120 194 291 388 485 582 776 970 1164 1455 1940 2328 2910 3880 5820 11640 39887 79774 119661 159548 199435 239322 319096 398870 478644 598305 797740 957288 1196610 1595480 2393220 3869039 4786440 7738078 11607117 15476156 19345195 23214234 30952312 38690390 46428468 58035585 77380780 92856936 116071170 154761560 232142340 464284680