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2056294188 = 223513353461
BaseRepresentation
bin111101010010000…
…1000111100101100
312022022021120100000
41322210020330230
513202402403223
6540013304300
7101646132534
oct17244107454
95268246300
102056294188
119657a7293
12494795090
1326a027630
141571504c4
15c07d2543
hex7a908f2c

2056294188 has 144 divisors (see below), whose sum is σ = 5834084256. Its totient is φ = 629544960.

The previous prime is 2056294187. The next prime is 2056294199. The reversal of 2056294188 is 8814926502.

2056294188 is a `hidden beast` number, since 2 + 0 + 5 + 629 + 4 + 18 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2056294187) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4460278 + ... + 4460738.

It is an arithmetic number, because the mean of its divisors is an integer number (40514474).

Almost surely, 22056294188 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 2056294188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2917042128).

2056294188 is an abundant number, since it is smaller than the sum of its proper divisors (3777790068).

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

2056294188 is a wasteful number, since it uses less digits than its factorization.

2056294188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 2056294188 is about 45346.3800980850. The cubic root of 2056294188 is about 1271.6328817724.

The spelling of 2056294188 in words is "two billion, fifty-six million, two hundred ninety-four thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 353 461 468 486 702 706 922 972 1053 1059 1383 1404 1412 1844 2106 2118 2766 3159 3177 4149 4212 4236 4589 5532 5993 6318 6354 8298 9178 9531 11986 12447 12636 12708 13767 16596 17979 18356 19062 23972 24894 27534 28593 35958 37341 38124 41301 49788 53937 55068 57186 71916 74682 82602 85779 107874 112023 114372 123903 149364 161811 162733 165204 171558 215748 224046 247806 323622 325466 343116 371709 448092 485433 488199 495612 647244 650932 743418 970866 976398 1115127 1456299 1464597 1486836 1941732 1952796 2115529 2230254 2912598 2929194 4231058 4393791 4460508 5825196 5858388 6346587 8462116 8787582 12693174 13181373 17575164 19039761 25386348 26362746 38079522 39544119 52725492 57119283 76159044 79088238 114238566 158176476 171357849 228477132 342715698 514073547 685431396 1028147094 2056294188