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879389056 = 27713174441
BaseRepresentation
bin110100011010100…
…110100110000000
32021021201121000001
4310122212212000
53300110422211
6223132205344
730535453330
oct6432464600
92237647001
10879389056
11411435017
12206609854
1311025b170
1484b130c0
1552309ac1
hex346a6980

879389056 has 128 divisors (see below), whose sum is σ = 2283543360. Its totient is φ = 327352320.

The previous prime is 879389051. The next prime is 879389057. The reversal of 879389056 is 650983978.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×8793890562 = 1546650223625142272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 879388988 and 879389006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (879389051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195796 + ... + 200236.

Almost surely, 2879389056 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 879389056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141771680).

879389056 is an abundant number, since it is smaller than the sum of its proper divisors (1404154304).

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

879389056 is a wasteful number, since it uses less digits than its factorization.

879389056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4492 (or 4480 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 55.

The square root of 879389056 is about 29654.4947014782. The cubic root of 879389056 is about 958.0621557381.

The spelling of 879389056 in words is "eight hundred seventy-nine million, three hundred eighty-nine thousand, fifty-six".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 32 34 52 56 64 68 91 104 112 119 128 136 182 208 221 224 238 272 364 416 442 448 476 544 728 832 884 896 952 1088 1456 1547 1664 1768 1904 2176 2912 3094 3536 3808 4441 5824 6188 7072 7616 8882 11648 12376 14144 15232 17764 24752 28288 31087 35528 49504 57733 62174 71056 75497 99008 115466 124348 142112 150994 198016 230932 248696 284224 301988 404131 461864 497392 528479 568448 603976 808262 923728 981461 994784 1056958 1207952 1616524 1847456 1962922 1989568 2113916 2415904 3233048 3694912 3925844 3979136 4227832 4831808 6466096 6870227 7389824 7851688 8455664 9663616 12932192 13740454 15703376 16911328 25864384 27480908 31406752 33822656 51728768 54961816 62813504 67645312 109923632 125627008 219847264 439694528 879389056