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468440049 = 372111717041
BaseRepresentation
bin11011111010111…
…101001111110001
31012122110012221110
4123322331033301
51424410040144
6114252143533
714415450300
oct3372751761
91178405843
10468440049
11220470a40
12110a67ba9
137608507c
14462dc437
152b1d20b9
hex1bebd3f1

468440049 has 48 divisors (see below), whose sum is σ = 839284416. Its totient is φ = 229017600.

The previous prime is 468440029. The next prime is 468440099. The reversal of 468440049 is 940044864.

It is not a de Polignac number, because 468440049 - 27 = 468439921 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 468439989 and 468440016.

It is not an unprimeable number, because it can be changed into a prime (468440009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18969 + ... + 36009.

It is an arithmetic number, because the mean of its divisors is an integer number (17485092).

Almost surely, 2468440049 is an apocalyptic number.

468440049 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

468440049 is a deficient number, since it is larger than the sum of its proper divisors (370844367).

468440049 is a wasteful number, since it uses less digits than its factorization.

468440049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17086 (or 17079 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 468440049 is about 21643.4758992173. The cubic root of 468440049 is about 776.6368727685.

The spelling of 468440049 in words is "four hundred sixty-eight million, four hundred forty thousand, forty-nine".

Divisors: 1 3 7 11 17 21 33 49 51 77 119 147 187 231 357 539 561 833 1309 1617 2499 3927 9163 17041 27489 51123 119287 187451 289697 357861 562353 835009 869091 1312157 2027879 2505027 3186667 3936471 6083637 9185099 9560001 14195153 22306669 27555297 42585459 66920007 156146683 468440049