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681745248 = 2535731201
BaseRepresentation
bin101000101000101…
…001101101100000
31202111211020200000
4220220221231200
52344011321443
6151352100000
722615511322
oct5050515540
91674736600
10681745248
1131a911328
12170394600
13ab31a472
1466785612
153ecb88d3
hex28a29b60

681745248 has 144 divisors (see below), whose sum is σ = 2039755536. Its totient is φ = 223948800.

The previous prime is 681745223. The next prime is 681745249. The reversal of 681745248 is 842547186.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681745249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 567048 + ... + 568248.

It is an arithmetic number, because the mean of its divisors is an integer number (14164969).

Almost surely, 2681745248 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 681745248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019877768).

681745248 is an abundant number, since it is smaller than the sum of its proper divisors (1358010288).

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

681745248 is a wasteful number, since it uses less digits than its factorization.

681745248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299 (or 1279 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 681745248 is about 26110.2517797129. The cubic root of 681745248 is about 880.1176013632.

The spelling of 681745248 in words is "six hundred eighty-one million, seven hundred forty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 73 81 96 108 144 146 162 216 219 243 288 292 324 432 438 486 584 648 657 864 876 972 1168 1201 1296 1314 1752 1944 1971 2336 2402 2592 2628 3504 3603 3888 3942 4804 5256 5913 7008 7206 7776 7884 9608 10512 10809 11826 14412 15768 17739 19216 21024 21618 23652 28824 31536 32427 35478 38432 43236 47304 57648 63072 64854 70956 86472 87673 94608 97281 115296 129708 141912 172944 175346 189216 194562 259416 263019 283824 291843 345888 350692 389124 518832 526038 567648 583686 701384 778248 789057 1037664 1052076 1167372 1402768 1556496 1578114 2104152 2334744 2367171 2805536 3112992 3156228 4208304 4669488 4734342 6312456 7101513 8416608 9338976 9468684 12624912 14203026 18937368 21304539 25249824 28406052 37874736 42609078 56812104 75749472 85218156 113624208 170436312 227248416 340872624 681745248