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683456448 = 26319434357
BaseRepresentation
bin101000101111001…
…011011111000000
31202122001011222210
4220233023133000
52344431101243
6151452502120
722636166253
oct5057133700
91678034883
10683456448
1132087aa44
12170a7a940
13ab7992cc
1466aad09a
1540005933
hex28bcb7c0

683456448 has 112 divisors (see below), whose sum is σ = 1948200320. Its totient is φ = 210760704.

The previous prime is 683456447. The next prime is 683456483. The reversal of 683456448 is 844654386.

683456448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 261432-1.

It is a super-2 number, since 2×6834564482 = 934225432625553408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 683456397 and 683456406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (683456447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154686 + ... + 159042.

Almost surely, 2683456448 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 683456448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974100160).

683456448 is an abundant number, since it is smaller than the sum of its proper divisors (1264743872).

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

683456448 is a wasteful number, since it uses less digits than its factorization.

683456448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4434 (or 4424 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 48.

The square root of 683456448 is about 26142.9999808744. Note that the first 4 decimals coincide. The cubic root of 683456448 is about 880.8533595348.

The spelling of 683456448 in words is "six hundred eighty-three million, four hundred fifty-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 43 48 57 64 76 86 96 114 129 152 172 192 228 258 304 344 456 516 608 688 817 912 1032 1216 1376 1634 1824 2064 2451 2752 3268 3648 4128 4357 4902 6536 8256 8714 9804 13071 13072 17428 19608 26142 26144 34856 39216 52284 52288 69712 78432 82783 104568 139424 156864 165566 187351 209136 248349 278848 331132 374702 418272 496698 562053 662264 749404 836544 993396 1124106 1324528 1498808 1986792 2248212 2649056 2997616 3559669 3973584 4496424 5298112 5995232 7119338 7947168 8992848 10679007 11990464 14238676 15894336 17985696 21358014 28477352 35971392 42716028 56954704 85432056 113909408 170864112 227818816 341728224 683456448