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469482048 = 26337371049
BaseRepresentation
bin11011111110111…
…011101001000000
31012201102011022000
4123332323221000
51430141411143
6114330344000
714430350220
oct3376735100
91181364260
10469482048
112210128a2
1211128b000
137635b439
14464d0080
152b33abd3
hex1bfbba40

469482048 has 224 divisors, whose sum is σ = 1621536000. Its totient is φ = 130387968.

The previous prime is 469482017. The next prime is 469482059. The reversal of 469482048 is 840284964.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 469481994 and 469482012.

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 31 ways as a sum of consecutive naturals, for example, 447028 + ... + 448076.

It is an arithmetic number, because the mean of its divisors is an integer number (7239000).

Almost surely, 2469482048 is an apocalyptic number.

469482048 is a gapful number since it is divisible by the number (48) 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 469482048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810768000).

469482048 is an abundant number, since it is smaller than the sum of its proper divisors (1152053952).

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

469482048 is a wasteful number, since it uses less digits than its factorization.

469482048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 469482048 is about 21667.5344236487. The cubic root of 469482048 is about 777.2122972018.

The spelling of 469482048 in words is "four hundred sixty-nine million, four hundred eighty-two thousand, forty-eight".