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5776128 = 283223109
BaseRepresentation
bin10110000010001100000000
3101212110100200
4112002030000
52434314003
6323445200
7100045011
oct26021400
911773320
105776128
113295766
121b26800
131273137
14aa5008
157916a3
hex582300

5776128 has 108 divisors (see below), whose sum is σ = 17537520. Its totient is φ = 1824768.

The previous prime is 5776123. The next prime is 5776129. The reversal of 5776128 is 8216775.

5776128 is a `hidden beast` number, since 577 + 61 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 5 + 74 + 78 + 63 + 1 + 213 + 83 .

It is a junction number, because it is equal to n+sod(n) for n = 5776092 and 5776101.

It is not an unprimeable number, because it can be changed into a prime (5776123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52938 + ... + 53046.

Almost surely, 25776128 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 5776128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8768760).

5776128 is an abundant number, since it is smaller than the sum of its proper divisors (11761392).

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

5776128 is a wasteful number, since it uses less digits than its factorization.

5776128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 137 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 5776128 is about 2403.3576512870. The cubic root of 5776128 is about 179.4233397299.

The spelling of 5776128 in words is "five million, seven hundred seventy-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 109 128 138 144 184 192 207 218 256 276 288 327 368 384 414 436 552 576 654 736 768 828 872 981 1104 1152 1308 1472 1656 1744 1962 2208 2304 2507 2616 2944 3312 3488 3924 4416 5014 5232 5888 6624 6976 7521 7848 8832 10028 10464 13248 13952 15042 15696 17664 20056 20928 22563 26496 27904 30084 31392 40112 41856 45126 52992 60168 62784 80224 83712 90252 120336 125568 160448 180504 240672 251136 320896 361008 481344 641792 722016 962688 1444032 1925376 2888064 5776128