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8768956 = 2271953311
BaseRepresentation
bin100001011100…
…110110111100
3121111111202011
4201130312330
54221101311
6511541004
7134351320
oct41346674
917444664
108768956
114a4a279
122b2a764
131a80441
141243980
15b83321
hex85cdbc

8768956 has 48 divisors (see below), whose sum is σ = 18869760. Its totient is φ = 3481920.

The previous prime is 8768953. The next prime is 8768983. The reversal of 8768956 is 6598678.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8768953) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 28041 + ... + 28351.

It is an arithmetic number, because the mean of its divisors is an integer number (393120).

Almost surely, 28768956 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 8768956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9434880).

8768956 is an abundant number, since it is smaller than the sum of its proper divisors (10100804).

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

8768956 is a wasteful number, since it uses less digits than its factorization.

8768956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 392 counting only the distinct ones).

The product of its digits is 725760, while the sum is 49.

The square root of 8768956 is about 2961.2423068705. The cubic root of 8768956 is about 206.2129635364.

The spelling of 8768956 in words is "eight million, seven hundred sixty-eight thousand, nine hundred fifty-six".

Divisors: 1 2 4 7 14 19 28 38 53 76 106 133 212 266 311 371 532 622 742 1007 1244 1484 2014 2177 4028 4354 5909 7049 8708 11818 14098 16483 23636 28196 32966 41363 65932 82726 115381 165452 230762 313177 461524 626354 1252708 2192239 4384478 8768956