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8768424 = 2337194167
BaseRepresentation
bin100001011100…
…101110101000
3121111111000110
4201130232220
54221042144
6511534320
7134346630
oct41345650
917444013
108768424
114a49935
122b2a3a0
131a80122
1412436c0
15b830b9
hex85cba8

8768424 has 128 divisors (see below), whose sum is σ = 27417600. Its totient is φ = 2280960.

The previous prime is 8768423. The next prime is 8768437. The reversal of 8768424 is 4248678.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8768423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130839 + ... + 130905.

It is an arithmetic number, because the mean of its divisors is an integer number (214200).

Almost surely, 28768424 is an apocalyptic number.

8768424 is a gapful number since it is divisible by the number (84) 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 8768424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13708800).

8768424 is an abundant number, since it is smaller than the sum of its proper divisors (18649176).

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

8768424 is a wasteful number, since it uses less digits than its factorization.

8768424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 139 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The square root of 8768424 is about 2961.1524783435. The cubic root of 8768424 is about 206.2087932371.

The spelling of 8768424 in words is "eight million, seven hundred sixty-eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 41 42 56 57 67 76 82 84 114 123 133 134 152 164 168 201 228 246 266 268 287 328 399 402 456 469 492 532 536 574 779 798 804 861 938 984 1064 1148 1273 1407 1558 1596 1608 1722 1876 2296 2337 2546 2747 2814 3116 3192 3444 3752 3819 4674 5092 5453 5494 5628 6232 6888 7638 8241 8911 9348 10184 10906 10988 11256 15276 16359 16482 17822 18696 19229 21812 21976 26733 30552 32718 32964 35644 38458 43624 52193 53466 57687 65436 65928 71288 76916 104386 106932 115374 130872 153832 156579 208772 213864 230748 313158 365351 417544 461496 626316 730702 1096053 1252632 1461404 2192106 2922808 4384212 8768424