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676748864 = 261147113181
BaseRepresentation
bin101000010101100…
…101111001000000
31202011102101220202
4220111211321000
52341221430424
6151053024332
722525161521
oct5025457100
91664371822
10676748864
11318009490
1216a7850a8
13aa28b21c
1465c44848
153e62d2ae
hex28565e40

676748864 has 112 divisors (see below), whose sum is σ = 1517757696. Its totient is φ = 296755200.

The previous prime is 676748861. The next prime is 676748887. The reversal of 676748864 is 468847676.

It is not an unprimeable number, because it can be changed into a prime (676748861) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3738854 + ... + 3739034.

It is an arithmetic number, because the mean of its divisors is an integer number (13551408).

Almost surely, 2676748864 is an apocalyptic number.

676748864 is a gapful number since it is divisible by the number (64) 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 676748864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758878848).

676748864 is an abundant number, since it is smaller than the sum of its proper divisors (841008832).

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

676748864 is a wasteful number, since it uses less digits than its factorization.

676748864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 354 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 56.

The square root of 676748864 is about 26014.3972446028. The cubic root of 676748864 is about 877.9622546961.

The spelling of 676748864 in words is "six hundred seventy-six million, seven hundred forty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 47 64 88 94 113 176 181 188 226 352 362 376 452 517 704 724 752 904 1034 1243 1448 1504 1808 1991 2068 2486 2896 3008 3616 3982 4136 4972 5311 5792 7232 7964 8272 8507 9944 10622 11584 15928 16544 17014 19888 20453 21244 31856 33088 34028 39776 40906 42488 58421 63712 68056 79552 81812 84976 93577 116842 127424 136112 163624 169952 187154 224983 233684 272224 327248 339904 374308 449966 467368 544448 654496 748616 899932 934736 961291 1308992 1497232 1799864 1869472 1922582 2994464 3599728 3738944 3845164 5988928 7199456 7690328 10574201 14398912 15380656 21148402 30761312 42296804 61522624 84593608 169187216 338374432 676748864