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684545472 = 26331331983
BaseRepresentation
bin101000110011010…
…101010111000000
31202201002111212000
4220303111113000
52400220423342
6151532104000
722651353252
oct5063252700
91681074760
10684545472
11321454166
12171305000
13aba8abc0
1466cb3cd2
154016d44c
hex28cd55c0

684545472 has 224 divisors, whose sum is σ = 2239426560. Its totient is φ = 203627520.

The previous prime is 684545467. The next prime is 684545479. The reversal of 684545472 is 274545486.

684545472 is a `hidden beast` number, since 68 + 4 + 545 + 47 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (684545479) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 695893 + ... + 696875.

It is an arithmetic number, because the mean of its divisors is an integer number (9997440).

Almost surely, 2684545472 is an apocalyptic number.

684545472 is a gapful number since it is divisible by the number (62) 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 684545472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119713280).

684545472 is an abundant number, since it is smaller than the sum of its proper divisors (1554881088).

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

684545472 is a wasteful number, since it uses less digits than its factorization.

684545472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1032 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 45.

The square root of 684545472 is about 26163.8199045934. The cubic root of 684545472 is about 881.3209637739.

The spelling of 684545472 in words is "six hundred eighty-four million, five hundred forty-five thousand, four hundred seventy-two".