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676412500 = 2255531021
BaseRepresentation
bin101000010100010…
…011110001010100
31202010210022111211
4220110103301110
52341130200000
6151041511204
722522261051
oct5024236124
91663708454
10676412500
113178a97a5
1216a642504
13aa1a10aa
1465b98028
153e5b37ba
hex28513c54

676412500 has 72 divisors (see below), whose sum is σ = 1508950296. Its totient is φ = 265200000.

The previous prime is 676412491. The next prime is 676412509. The reversal of 676412500 is 5214676.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (676412491) and next prime (676412509).

It can be written as a sum of positive squares in 12 ways, for example, as 651372484 + 25040016 = 25522^2 + 5004^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (676412509) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 661990 + ... + 663010.

It is an arithmetic number, because the mean of its divisors is an integer number (20957643).

Almost surely, 2676412500 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 676412500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754475148).

676412500 is an abundant number, since it is smaller than the sum of its proper divisors (832537796).

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

676412500 is a wasteful number, since it uses less digits than its factorization.

676412500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 676412500 is about 26007.9314825305. The cubic root of 676412500 is about 877.8167729417.

The spelling of 676412500 in words is "six hundred seventy-six million, four hundred twelve thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 125 212 250 265 500 530 625 1021 1060 1250 1325 2042 2500 2650 3125 4084 5105 5300 6250 6625 10210 12500 13250 20420 25525 26500 33125 51050 54113 66250 102100 108226 127625 132500 165625 216452 255250 270565 331250 510500 541130 638125 662500 1082260 1276250 1352825 2552500 2705650 3190625 5411300 6381250 6764125 12762500 13528250 27056500 33820625 67641250 135282500 169103125 338206250 676412500