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676226000 = 24531719889
BaseRepresentation
bin101000010011100…
…110001111010000
31202010102211200102
4220103212033100
52341103213000
6151033511532
722520553242
oct5023461720
91663384612
10676226000
1131779166a
1216a5725a8
13aa137238
1465b4a092
153e5783d5
hex284e63d0

676226000 has 80 divisors (see below), whose sum is σ = 1731384720. Its totient is φ = 254566400.

The previous prime is 676225871. The next prime is 676226063. The reversal of 676226000 is 622676.

It can be written as a sum of positive squares in 8 ways, for example, as 23116864 + 653109136 = 4808^2 + 25556^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 24056 + ... + 43944.

It is an arithmetic number, because the mean of its divisors is an integer number (21642309).

Almost surely, 2676226000 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 676226000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865692360).

676226000 is an abundant number, since it is smaller than the sum of its proper divisors (1055158720).

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

676226000 is a wasteful number, since it uses less digits than its factorization.

676226000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19929 (or 19913 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 676226000 is about 26004.3457906558. The cubic root of 676226000 is about 877.7360885089.

Adding to 676226000 its reverse (622676), we get a palindrome (676848676).

The spelling of 676226000 in words is "six hundred seventy-six million, two hundred twenty-six thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 680 850 1000 1360 1700 2000 2125 3400 4250 6800 8500 17000 19889 34000 39778 79556 99445 159112 198890 318224 338113 397780 497225 676226 795560 994450 1352452 1591120 1690565 1988900 2486125 2704904 3381130 3977800 4972250 5409808 6762260 7955600 8452825 9944500 13524520 16905650 19889000 27049040 33811300 39778000 42264125 67622600 84528250 135245200 169056500 338113000 676226000