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682084656 = 243211676427
BaseRepresentation
bin101000101001111…
…100100100110000
31202112110111020200
4220221330210300
52344103202111
6151403235200
722621424001
oct5051744460
91675414220
10682084656
11320023330
12170518b00
13ab408ab6
14668331a8
153ed34256
hex28a7c930

682084656 has 120 divisors (see below), whose sum is σ = 2113834944. Its totient is φ = 203575680.

The previous prime is 682084649. The next prime is 682084673. The reversal of 682084656 is 656480286.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102915 + ... + 109341.

Almost surely, 2682084656 is an apocalyptic number.

682084656 is a gapful number since it is divisible by the number (66) 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 682084656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056917472).

682084656 is an abundant number, since it is smaller than the sum of its proper divisors (1431750288).

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

682084656 is a wasteful number, since it uses less digits than its factorization.

682084656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6519 (or 6510 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 682084656 is about 26116.7504869959. The cubic root of 682084656 is about 880.2636331333.

The spelling of 682084656 in words is "six hundred eighty-two million, eighty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 67 72 88 99 132 134 144 176 198 201 264 268 396 402 528 536 603 737 792 804 1072 1206 1474 1584 1608 2211 2412 2948 3216 4422 4824 5896 6427 6633 8844 9648 11792 12854 13266 17688 19281 25708 26532 35376 38562 51416 53064 57843 70697 77124 102832 106128 115686 141394 154248 212091 231372 282788 308496 424182 430609 462744 565576 636273 848364 861218 925488 1131152 1272546 1291827 1696728 1722436 2545092 2583654 3393456 3444872 3875481 4736699 5090184 5167308 6889744 7750962 9473398 10180368 10334616 14210097 15501924 18946796 20669232 28420194 31003848 37893592 42630291 56840388 62007696 75787184 85260582 113680776 170521164 227361552 341042328 682084656