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676407504 = 24341283101
BaseRepresentation
bin101000010100010…
…010100011010000
31202010210001122210
4220110102203100
52341130020004
6151041432120
722522240353
oct5024224320
91663701583
10676407504
113178a5a73
1216a63b640
13aa19ba36
1465b9629a
153e5b2089
hex285128d0

676407504 has 120 divisors (see below), whose sum is σ = 1830570336. Its totient is φ = 215168000.

The previous prime is 676407443. The next prime is 676407517. The reversal of 676407504 is 405704676.

It is a super-2 number, since 2×6764075042 = 915054222935020032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6697054 + ... + 6697154.

Almost surely, 2676407504 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 676407504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915285168).

676407504 is an abundant number, since it is smaller than the sum of its proper divisors (1154162832).

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

676407504 is a wasteful number, since it uses less digits than its factorization.

676407504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The square root of 676407504 is about 26007.8354347300. The cubic root of 676407504 is about 877.8146117440.

The spelling of 676407504 in words is "six hundred seventy-six million, four hundred seven thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 83 101 123 164 166 202 246 249 303 328 332 404 492 498 606 656 664 808 984 996 1212 1328 1616 1681 1968 1992 2424 3362 3403 3984 4141 4848 5043 6724 6806 8282 8383 10086 10209 12423 13448 13612 16564 16766 20172 20418 24846 25149 26896 27224 33128 33532 40344 40836 49692 50298 54448 66256 67064 80688 81672 99384 100596 134128 139523 163344 169781 198768 201192 279046 339562 343703 402384 418569 509343 558092 679124 687406 837138 1018686 1031109 1116184 1358248 1374812 1674276 2037372 2062218 2232368 2716496 2749624 3348552 4074744 4124436 5499248 6697104 8149488 8248872 14091823 16497744 28183646 42275469 56367292 84550938 112734584 169101876 225469168 338203752 676407504