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2056688832 = 263111757283
BaseRepresentation
bin111101010010110…
…1001010011000000
312022100000121200110
41322211221103000
513203003020312
6540025551320
7101652365232
oct17245512300
95270017613
102056688832
11965a46840
12494945540
1326a135153
14157214252
15c085e43c
hex7a9694c0

2056688832 has 112 divisors (see below), whose sum is σ = 6285658752. Its totient is φ = 586567680.

The previous prime is 2056688813. The next prime is 2056688833. The reversal of 2056688832 is 2388866502.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2056688833) 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, 7263 + ... + 64545.

Almost surely, 22056688832 is an apocalyptic number.

2056688832 is a gapful number since it is divisible by the number (22) 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 2056688832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3142829376).

2056688832 is an abundant number, since it is smaller than the sum of its proper divisors (4228969920).

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

2056688832 is a wasteful number, since it uses less digits than its factorization.

2056688832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57326 (or 57316 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The square root of 2056688832 is about 45350.7313281715. The cubic root of 2056688832 is about 1271.7142271669.

The spelling of 2056688832 in words is "two billion, fifty-six million, six hundred eighty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 102 132 136 176 187 192 204 264 272 352 374 408 528 544 561 704 748 816 1056 1088 1122 1496 1632 2112 2244 2992 3264 4488 5984 8976 11968 17952 35904 57283 114566 171849 229132 343698 458264 630113 687396 916528 973811 1260226 1374792 1833056 1890339 1947622 2520452 2749584 2921433 3666112 3780678 3895244 5040904 5499168 5842866 7561356 7790488 10081808 10711921 10998336 11685732 15122712 15580976 20163616 21423842 23371464 30245424 31161952 32135763 40327232 42847684 46742928 60490848 62323904 64271526 85695368 93485856 120981696 128543052 171390736 186971712 257086104 342781472 514172208 685562944 1028344416 2056688832