Search a number
-
+
676049472 = 263272171409
BaseRepresentation
bin101000010010111…
…011001001000000
31202010002212112100
4220102323021000
52341032040342
6151030030400
722516216500
oct5022731100
91663085470
10676049472
11317680a7a
1216a4a8400
13aa0a4a97
1465b01a00
153e540e4c
hex284bb240

676049472 has 252 divisors, whose sum is σ = 2388435660. Its totient is φ = 181665792.

The previous prime is 676049447. The next prime is 676049477. The reversal of 676049472 is 274940676.

It can be written as a sum of positive squares in 2 ways, for example, as 213627456 + 462422016 = 14616^2 + 21504^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is not an unprimeable number, because it can be changed into a prime (676049477) 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 35 ways as a sum of consecutive naturals, for example, 479104 + ... + 480512.

Almost surely, 2676049472 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 676049472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194217830).

676049472 is an abundant number, since it is smaller than the sum of its proper divisors (1712386188).

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

676049472 is a wasteful number, since it uses less digits than its factorization.

676049472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 676049472 is about 26000.9513672096. The cubic root of 676049472 is about 877.6597045382.

The spelling of 676049472 in words is "six hundred seventy-six million, forty-nine thousand, four hundred seventy-two".