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679971744 = 253267131269
BaseRepresentation
bin101000100001111…
…000101110100000
31202101111010212200
4220201320232200
52343033043434
6151250053200
722564443624
oct5041705640
91671433780
10679971744
1131990a921
1216b87a200
13aab4915a
1466443184
153ea68199
hex28878ba0

679971744 has 144 divisors (see below), whose sum is σ = 1984862880. Its totient is φ = 220746240.

The previous prime is 679971739. The next prime is 679971827. The reversal of 679971744 is 447179976.

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

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, 2527642 + ... + 2527910.

It is an arithmetic number, because the mean of its divisors is an integer number (13783770).

Almost surely, 2679971744 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 679971744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992431440).

679971744 is an abundant number, since it is smaller than the sum of its proper divisors (1304891136).

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

679971744 is a wasteful number, since it uses less digits than its factorization.

679971744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 472 counting only the distinct ones).

The product of its digits is 2667168, while the sum is 54.

The square root of 679971744 is about 26076.2678311142. The cubic root of 679971744 is about 879.3537541826.

The spelling of 679971744 in words is "six hundred seventy-nine million, nine hundred seventy-one thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 67 72 96 131 134 144 201 262 268 269 288 393 402 524 536 538 603 786 804 807 1048 1072 1076 1179 1206 1572 1608 1614 2096 2144 2152 2358 2412 2421 3144 3216 3228 4192 4304 4716 4824 4842 6288 6432 6456 8608 8777 9432 9648 9684 12576 12912 17554 18023 18864 19296 19368 25824 26331 35108 35239 36046 37728 38736 52662 54069 70216 70478 72092 77472 78993 105324 105717 108138 140432 140956 144184 157986 162207 210648 211434 216276 280864 281912 288368 315972 317151 324414 421296 422868 432552 563824 576736 631944 634302 648828 842592 845736 865104 1127648 1263888 1268604 1297656 1691472 1730208 2361013 2527776 2537208 2595312 3382944 4722026 5074416 5190624 7083039 9444052 10148832 14166078 18888104 21249117 28332156 37776208 42498234 56664312 75552416 84996468 113328624 169992936 226657248 339985872 679971744