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676161504 = 253241173331
BaseRepresentation
bin101000010011010…
…110011111100000
31202010022120012200
4220103112133200
52341044132004
6151032253200
722520164224
oct5023263740
91663276180
10676161504
11317748167
1216a541200
13aa113a85
1465b30784
153e564239
hex284d67e0

676161504 has 144 divisors (see below), whose sum is σ = 1987103664. Its totient is φ = 217958400.

The previous prime is 676161481. The next prime is 676161511. The reversal of 676161504 is 405161676.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2042619 + ... + 2042949.

It is an arithmetic number, because the mean of its divisors is an integer number (13799331).

Almost surely, 2676161504 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 676161504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993551832).

676161504 is an abundant number, since it is smaller than the sum of its proper divisors (1310942160).

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

676161504 is a wasteful number, since it uses less digits than its factorization.

676161504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 676161504 is about 26003.1056606706. The cubic root of 676161504 is about 877.7081825195.

It can be divided in two parts, 6761 and 61504, that added together give a triangular number (68265 = T369).

The spelling of 676161504 in words is "six hundred seventy-six million, one hundred sixty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 173 246 288 328 331 346 369 492 519 656 662 692 738 984 993 1038 1312 1324 1384 1476 1557 1968 1986 2076 2648 2768 2952 2979 3114 3936 3972 4152 5296 5536 5904 5958 6228 7093 7944 8304 10592 11808 11916 12456 13571 14186 15888 16608 21279 23832 24912 27142 28372 31776 40713 42558 47664 49824 54284 56744 57263 63837 81426 85116 95328 108568 113488 114526 122139 127674 162852 170232 171789 217136 226976 229052 244278 255348 325704 340464 343578 434272 458104 488556 510696 515367 651408 680928 687156 916208 977112 1021392 1030734 1302816 1374312 1832416 1954224 2042784 2061468 2347783 2748624 3908448 4122936 4695566 5497248 7043349 8245872 9391132 14086698 16491744 18782264 21130047 28173396 37564528 42260094 56346792 75129056 84520188 112693584 169040376 225387168 338080752 676161504