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676254976 = 2814917729
BaseRepresentation
bin101000010011101…
…101010100000000
31202010111022102121
4220103231110000
52341110124401
6151034254024
722521033565
oct5023552400
91663438377
10676254976
11317801411
1216a587314
13aa147497
1465b5686c
153e581ca1
hex284ed500

676254976 has 36 divisors (see below), whose sum is σ = 1359004500. Its totient is φ = 335839232.

The previous prime is 676254959. The next prime is 676254979. The reversal of 676254976 is 679452676.

It can be written as a sum of positive squares in 2 ways, for example, as 250905600 + 425349376 = 15840^2 + 20624^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (676254979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29280 + ... + 47008.

It is an arithmetic number, because the mean of its divisors is an integer number (37750125).

Almost surely, 2676254976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 676254976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679502250).

676254976 is an abundant number, since it is smaller than the sum of its proper divisors (682749524).

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

676254976 is a wasteful number, since it uses less digits than its factorization.

676254976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17894 (or 17880 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 52.

The square root of 676254976 is about 26004.9029223337. The cubic root of 676254976 is about 877.7486252040.

The spelling of 676254976 in words is "six hundred seventy-six million, two hundred fifty-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 149 256 298 596 1192 2384 4768 9536 17729 19072 35458 38144 70916 141832 283664 567328 1134656 2269312 2641621 4538624 5283242 10566484 21132968 42265936 84531872 169063744 338127488 676254976