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683032672 = 25719312167
BaseRepresentation
bin101000101101100…
…100000001100000
31202121020122200101
4220231210001200
52344324021142
6151435432144
722632452620
oct5055440140
91677218611
10683032672
11320610613
121708b5654
13ab67b45a
14669dc880
153ee700b7
hex28b64060

683032672 has 144 divisors (see below), whose sum is σ = 1681585920. Its totient is φ = 266768640.

The previous prime is 683032667. The next prime is 683032711. The reversal of 683032672 is 276230386.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

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, 4089933 + ... + 4090099.

It is an arithmetic number, because the mean of its divisors is an integer number (11677680).

Almost surely, 2683032672 is an apocalyptic number.

683032672 is a gapful number since it is divisible by the number (62) 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 683032672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840792960).

683032672 is an abundant number, since it is smaller than the sum of its proper divisors (998553248).

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

683032672 is a wasteful number, since it uses less digits than its factorization.

683032672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The square root of 683032672 is about 26134.8937629369. The cubic root of 683032672 is about 880.6712646881.

The spelling of 683032672 in words is "six hundred eighty-three million, thirty-two thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 19 28 31 32 38 56 62 76 112 124 133 152 167 217 224 248 266 304 334 434 496 532 589 608 668 868 961 992 1064 1169 1178 1336 1736 1922 2128 2338 2356 2672 3173 3472 3844 4123 4256 4676 4712 5177 5344 6346 6727 6944 7688 8246 9352 9424 10354 12692 13454 15376 16492 18259 18704 18848 20708 22211 25384 26908 30752 32984 36239 36518 37408 41416 44422 50768 53816 65968 72478 73036 82832 88844 98363 101536 107632 127813 131936 144956 146072 160487 165664 177688 196726 215264 255626 289912 292144 320974 355376 393452 511252 579824 584288 641948 688541 710752 786904 1022504 1123409 1159648 1283896 1377082 1573808 2045008 2246818 2567792 2754164 3049253 3147616 4090016 4493636 5135584 5508328 6098506 8987272 11016656 12197012 17974544 21344771 22033312 24394024 35949088 42689542 48788048 85379084 97576096 170758168 341516336 683032672