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684141948 = 2232717159697
BaseRepresentation
bin101000110001110…
…010110101111100
31202200100000022200
4220301302311330
52400120020243
6151515311500
722645052640
oct5061626574
91680300280
10684141948
113211a8a76
1217114b590
13ab979329
1466c0ac20
15400ddad3
hex28c72d7c

684141948 has 72 divisors (see below), whose sum is σ = 2092682592. Its totient is φ = 183969792.

The previous prime is 684141947. The next prime is 684141977. The reversal of 684141948 is 849141486.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (684141947) 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, 75565 + ... + 84132.

It is an arithmetic number, because the mean of its divisors is an integer number (29065036).

Almost surely, 2684141948 is an apocalyptic number.

684141948 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

684141948 is an abundant number, since it is smaller than the sum of its proper divisors (1408540644).

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

684141948 is a wasteful number, since it uses less digits than its factorization.

684141948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159731 (or 159726 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 684141948 is about 26156.1072791805. The cubic root of 684141948 is about 881.1477568419.

The spelling of 684141948 in words is "six hundred eighty-four million, one hundred forty-one thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 1071 1428 2142 4284 159697 319394 479091 638788 958182 1117879 1437273 1916364 2235758 2714849 2874546 3353637 4471516 5429698 5749092 6707274 8144547 10060911 10859396 13414548 16289094 19003943 20121822 24433641 32578188 38007886 40243644 48867282 57011829 76015772 97734564 114023658 171035487 228047316 342070974 684141948