Search a number
-
+
6849428472 = 2333592292347
BaseRepresentation
bin1100110000100000…
…11111101111111000
3122200100102000111000
412120100133233320
5103011423202342
63051355005000
7331510116135
oct63020375770
918610360430
106849428472
1129a5361a97
1213b1a39760
13852066b73
1448d96358c
152a14c544c
hex19841fbf8

6849428472 has 128 divisors (see below), whose sum is σ = 19441440000. Its totient is φ = 2233692288.

The previous prime is 6849428461. The next prime is 6849428473. The reversal of 6849428472 is 2748249486.

6849428472 is a `hidden beast` number, since 6 + 8 + 494 + 2 + 84 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6849428473) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2917203 + ... + 2919549.

It is an arithmetic number, because the mean of its divisors is an integer number (151886250).

Almost surely, 26849428472 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 6849428472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9720720000).

6849428472 is an abundant number, since it is smaller than the sum of its proper divisors (12592011528).

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

6849428472 is a wasteful number, since it uses less digits than its factorization.

6849428472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2650 (or 2640 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The square root of 6849428472 is about 82761.2739872943. The cubic root of 6849428472 is about 1899.1157909774.

The spelling of 6849428472 in words is "six billion, eight hundred forty-nine million, four hundred twenty-eight thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 59 72 108 118 177 216 229 236 354 458 472 531 687 708 916 1062 1374 1416 1593 1832 2061 2124 2347 2748 3186 4122 4248 4694 5496 6183 6372 7041 8244 9388 12366 12744 13511 14082 16488 18776 21123 24732 27022 28164 40533 42246 49464 54044 56328 63369 81066 84492 108088 121599 126738 138473 162132 168984 243198 253476 276946 324264 364797 415419 486396 506952 537463 553892 729594 830838 972792 1074926 1107784 1246257 1459188 1612389 1661676 2149852 2492514 2918376 3224778 3323352 3738771 4299704 4837167 4985028 6449556 7477542 9674334 9970056 12899112 14511501 14955084 19348668 29023002 29910168 31710317 38697336 58046004 63420634 95130951 116092008 126841268 190261902 253682536 285392853 380523804 570785706 761047608 856178559 1141571412 1712357118 2283142824 3424714236 6849428472